# Utah Core Curriculum for Mathematics

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Core Curriculum for Mathematics correlated to

2 correlated to 2005 Chapter 1 (pp. 2 57) Variables, Expressions, and Integers Lesson 1.1 (pp. 5 9) Expressions and Variables Evaluate algebraic expressions when given values for the variable(s). Lesson 1.2 (pp ) Powers and Exponents Describe simple patterns using a mathematical rule or algebraic expression Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers) Evaluate algebraic expressions when given values for the variable(s) Measure angles, perimeter, area, and volume using the correct size and type of units. 1

3 , correlated to 2005 Lesson 1.3 (pp ) Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Describe simple patterns using a mathematical rule or algebraic expression Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers) Evaluate algebraic expressions when given values for the variable(s). Lesson 1.4 (pp ) Comparing and Ordering Integers Find an approximate location of a rational number on a number line Compare and order rational numbers Recognize absolute value of a rational number as the value of its distance from zero Evaluate numerical and algebraic expressions containing absolute value Evaluate algebraic expressions when given values for the variable(s) Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication. 2

4 , correlated to 2005 Lesson 1.5 (pp ) Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Add, subtract, multiply, and divide integers Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e g., multiplying or dividing by a number larger or smaller than Recognize absolute value of a rational number as the value of its distance from zero Evaluate numerical and algebraic expressions containing absolute value Evaluate algebraic expressions when given values for the variable(s) Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication. 3

5 , correlated to 2005 Lesson 1.6 (pp ) Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Add, subtract, multiply, and divide integers Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e g., multiplying or dividing by a number larger or smaller than Evaluate algebraic expressions when given values for the variable(s) Calculate the mean, median, mode, and range for a data set Choose a measure of central tendency most appropriate to analyze a particular set of data Describe how an individual data point may affect the measures of central tendency Interpret and describe the spread of a set of data, e g., range, box plot (box and whisker). 4

6 , correlated to 2005 Lesson 1.7 (pp ) Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Add, subtract, multiply, and divide integers Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Compare and order rational numbers Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e g., multiplying or dividing by a number larger or smaller than Recognize and use the special multiplication properties of zero Recognize that division by zero is not defined Evaluate algebraic expressions when given values for the variable(s) Calculate the mean, median, mode, and range for a data set Choose a measure of central tendency most appropriate to analyze a particular set of data. 5

7 , correlated to 2005 Lesson 1.8 (pp ) Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Add, subtract, multiply, and divide integers Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e g., multiplying or dividing by a number larger or smaller than Graph ordered pairs of rational numbers on a rectangular coordinate system Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system Organize and display data using graphical representations such as line plots, bar graphs, stem and leaf plots, histograms, scatter plots, circle graphs, box plots (box and whisker plots), and pictographs Make conjectures from a graphical representation. 6

8 , correlated to 2005 Chapter 2 (pp ) Solving Equations Lesson 2.1 (pp ) Properties and Operations Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication Evaluate algebraic expressions when given values for the variable(s) Graph ordered pairs of rational numbers on a rectangular coordinate system Convert from one unit of measure to an equivalent unit of measure using a given conversion factor, e.g., 60 miles/hour 1 hour/3600 sec 5280 ft/1mile = 88 ft/sec Measure angles, perimeter, area, and volume using the correct size and type of units Develop formulas for calculating the circumference of circles and the areas of triangles, parallelograms, and trapezoids Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas. 7

9 , correlated to 2005 Lesson 2.2 (pp ) The Distributive Property Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Add, subtract, multiply, and divide integers Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication Convert from one unit of measure to an equivalent unit of measure using a given conversion factor, e.g., 60 miles/hour 1 hour/3600 sec 5280 ft/1mile = 88 ft/sec Measure angles, perimeter, area, and volume using the correct size and type of units Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet. Lesson 2.3 (pp ) Simplifying Variable Expressions Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication. 8

10 , correlated to 2005 Lesson 2.4 (pp ) Variables and Equations Add, subtract, multiply, and divide integers Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication Evaluate algebraic expressions when given values for the variable(s) Solve one and two step single variable equations and inequalities Convert from one unit of measure to an equivalent unit of measure using a given conversion factor, e.g., 60 miles/hour 1 hour/3600 sec 5280 ft/1mile = 88 ft/sec. 9

11 , correlated to 2005 Lesson 2.5 (pp ) Solving Equations Using Addition or Subtraction Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Recognize absolute value of a rational number as the value of its distance from zero Evaluate numerical and algebraic expressions containing absolute value Evaluate algebraic expressions when given values for the variable(s) Solve one and two step single variable equations and inequalities. Lesson 2.6 (pp ) Solving Equations Using Multiplication or Division Convert from one unit of measure to an equivalent unit of measure using a given conversion factor, e.g., 60 miles/hour 1 hour/3600 sec 5280 ft/1mile = 88 ft/sec Add, subtract, multiply, and divide integers Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Solve one and two step single variable equations and inequalities Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas. 10

12 , correlated to 2005 Lesson 2.7 (pp ) Decimal Operations and Equations with Decimals Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e g., multiplying or dividing by a number larger or smaller than Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication Solve one and two step single variable equations and inequalities Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas. 11

13 , correlated to 2005 Chapter 3 (pp ) Lesson 3.1 (pp ) Solving Two-Step Equations Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Solve one and two step single variable equations and inequalities. Lesson 3.2 (pp ) Solving Equations Having Like Terms and Parentheses Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Solve one and two step single variable equations and inequalities Graph ordered pairs of rational numbers on a rectangular coordinate system. Lesson 3.3 (pp ) Solving Equations with Variables on Both Sides Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Solve one and two step single variable equations and inequalities. Lesson 3.4 (pp ) Solve one and two step single variable equations and inequalities. Lesson 3.5 (pp ) Solving Inequalities Using Multiplication or Division Solve one and two step single variable equations and inequalities. 12

14 , correlated to 2005 Lesson 3.6 (pp ) Solving Multi-Step Inequalities Solve one and two step single variable equations and inequalities Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 13

15 , correlated to 2005 Chapter 4 (pp ) Lesson 4.1 (pp ) Factors and Prime Factorization Lesson 4.2 (pp ) Greatest Common Factor Lesson 4.3 (pp ) Equivalent Fractions Make predictions and describe the limitations of the predictions when using data samples Make conjectures from a graphical representation Recognize and create equivalent forms of a rational number Find an approximate location of a rational number on a number line Recognize absolute value of a rational number as the value of its distance from zero Evaluate numerical and algebraic expressions containing absolute value. Lesson 4.4 (pp ) Least Common Multiple Evaluate algebraic expressions when given values for the variable(s) Describe simple patterns using a mathematical rule or algebraic expression Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). Lesson 4.5 (pp ) Rules of Exponents Evaluate algebraic expressions when given values for the variable(s) Recognize and create equivalent forms of a rational number Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). 14

16 , correlated to 2005 Lesson 4.6 (pp ) Negative and Zero Exponents Recognize and create equivalent forms of a rational number Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). Lesson 4.7 (pp ) Scientific Notation Solve one and two step single variable equations and inequalities Recognize and create equivalent forms of a rational number Represent very large and very small numbers using scientific notation Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e g., multiplying or dividing by a number larger or smaller than Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Solve one and two step single variable equations and inequalities. 15

17 , correlated to 2005 Chapter 5 (pp ) Lesson 5.1 (pp ) Rational Numbers Recognize and create equivalent forms of a rational number Find an approximate location of a rational number on a number line Find a rational number between any two rational numbers. Lesson 5.2 (pp ) Adding and Subtracting Like Fractions Compare and order rational numbers Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. Lesson 5.3 (pp ) Adding and Subtracting Unlike Fractions Solve one and two step single variable equations and inequalities Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Check the reasonableness of results using estimation Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication. 16

18 , correlated to 2005 Lesson 5.4 (pp ) Multiplying Fractions Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Represent very large and very small numbers using scientific notation Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e g., multiplying or dividing by a number larger or smaller than Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. Lesson 5.5 (pp ) Dividing Fractions Solve one and two step single variable equations and inequalities Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Compare and order rational numbers Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e g., multiplying or dividing by a number larger or smaller than Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Solve one and two step single variable equations and inequalities. 17

19 , correlated to 2005 Lesson 5.6 (pp ) Using Multiplicative Inverses to Solve Equations Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Compare and order rational numbers Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e g., multiplying or dividing by a number larger or smaller than Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Solve one and two step single variable equations and inequalities. Lesson 5.7 (pp ) Equations and Inequalities with Rational Numbers Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares Solve one and two step single variable equations and inequalities. 18

20 , correlated to 2005 Chapter 6 (pp ) Lesson 6.1 (pp ) Ratios and Rates Lesson 6.2 (pp ) Writing and Solving Proportions Lesson 6.3 (pp ) Solving Proportions Using Cross Products Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet Solve problems using simple proportions Recognize and create equivalent forms of a rational number Represent very large and very small numbers using scientific notation Solve problems using simple proportions. Lesson 6.4 (pp ) Similar and Congruent Figures Classify two and three dimensional objects according to the defining characteristics Recognize and create equivalent forms of a rational number Solve problems using simple proportions Identify congruent and similar shapes Find missing lengths of similar plane figures using proportions Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects Measure angles, perimeter, area, and volume using the correct size and type of units Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet. 19

21 , correlated to 2005 Lesson 6.5 (pp ) Similarity and Measurement Compare and order rational numbers Solve problems using simple proportions Identify congruent and similar shapes Find missing lengths of similar plane figures using proportions Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects Solve problems involving scale factors using ratios and proportions. Lesson 6.6 (pp ) Scale Drawings Measure inaccessible heights or distances using similar triangles Solve problems using simple proportions Describe simple patterns using a mathematical rule or algebraic expression Identify congruent and similar shapes Find missing lengths of similar plane figures using proportions Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects Create and interpret scale drawings Determine an approximate distance between two points using map scales Solve problems involving scale factors using ratios and proportions. 20

22 , correlated to 2005 Lesson 6.7 (pp ) Probability and Odds Compare and order rational numbers Solve problems using simple proportions Identify congruent and similar shapes Find missing lengths of similar plane figures using proportions Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects Solve problems involving scale factors using ratios and proportions Measure inaccessible heights or distances using similar triangles Conduct a survey or experiment to collect data Make predictions and describe the limitations of the predictions when using data samples Conduct experiments to approximate the probability of simple events Conduct experiments to approximate the probability of simple events Recognize that results of an experiment more closely approximate the actual or theoretical probability of an event as the number of trials increases Derive the probability of an event mathematically, e g., building a table or tree diagram, creating an area model, making a list, or using the basic counting principle. Lesson 6.8 (pp ) Represent the probability of an event as a fraction, percent, ratio, or decimal Derive the probability of an event mathematically, e g., building a table or tree diagram, creating an area model, making a list, or using the basic counting principle Represent the probability of an event as a fraction, percent, ratio, or decimal. 21

23 , correlated to 2005 Chapter 7 (pp ) Lesson 7.1 (pp ) Percents and Fractions Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Recognize and create equivalent forms of a rational number Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Compute with percents, including those greater than 100% and less than 1% Solve problems using simple proportions Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication. Lesson 7.2 (pp ) Percents and Proportions Make conjectures from a graphical representation Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Check the reasonableness of results using estimation Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Compute with percents, including those greater than 100% and less than 1% Solve problems using simple proportions Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication Make predictions and describe the limitations of the predictions when using data samples. 22

24 , correlated to 2005 Lesson 7.3 (pp ) Percents and Decimals Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator Check the reasonableness of results using estimation Recognize and create equivalent forms of a rational number Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e g., multiplying or dividing by a number larger or smaller than Compute with percents, including those greater than 100% and less than 1% Solve problems using simple proportions Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers) Make conjectures from a graphical representation Make predictions and describe the limitations of the predictions when using data samples. Lesson 7.4 (pp ) The Percent Equation Lesson 7.5 (pp ) Percent of Change Represent the probability of an event as a fraction, percent, ratio, or decimal Recognize and create equivalent forms of a rational number Compute with percents, including those greater than 100% and less than 1% Check the reasonableness of results using estimation Compute with percents, including those greater than 100% and less than 1% Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication. 23

25 , correlated to 2005 Lesson 7.6 (pp ) Percent Applications Check the reasonableness of results using estimation Recognize and create equivalent forms of a rational number Compute with percents, including those greater than 100% and less than 1%. Lesson 7.7 (pp ) Simple and Compound Interest Evaluate algebraic expressions when given values for the variable(s) Compute with percents, including those greater than 100% and less than 1% Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet. 24

26 , correlated to 2005 Chapter 8 (pp ) Lesson 8.1 (pp ) Relations and Functions Compute with percents, including those greater than 100% and less than 1% Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Create a table, graph, or algebraic expression to represent the relationship between two variables Graph ordered pairs of rational numbers on a rectangular coordinate system. Lesson 8.2 (pp ) Linear Equations in Two Variables Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet Compute with percents, including those greater than 100% and less than 1% Solve problems using simple proportions Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Describe simple patterns using a mathematical rule or algebraic expression Evaluate algebraic expressions when given values for the variable(s) Create a table, graph, or algebraic expression to represent the relationship between two variables Graph ordered pairs of rational numbers on a rectangular coordinate system. 25

27 , correlated to 2005 Lesson 8.3 (pp ) Using Intercepts Compute with percents, including those greater than 100% and less than 1% Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Evaluate algebraic expressions when given values for the variable(s) Identify the horizontal and vertical intercepts of a linear relation from a graph or table Create a table, graph, or algebraic expression to represent the relationship between two variables Graph ordered pairs of rational numbers on a rectangular coordinate system. 26

28 , correlated to 2005 Lesson 8.4 (pp ) The Slope of a Line Recognize that division by zero is not defined Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Identify the horizontal and vertical intercepts of a linear relation from a graph or table Determine the slope of a linear relation from a graph or ordered pairs Create a table, graph, or algebraic expression to represent the relationship between two variables Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet. 27

29 , correlated to 2005 Lesson 8.5 (pp ) Slope-Intercept Form Compute with percents, including those greater than 100% and less than 1% Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Identify the horizontal and vertical intercepts of a linear relation from a graph or table Determine the slope of a linear relation from a graph or ordered pairs Create a table, graph, or algebraic expression to represent the relationship between two variables Graph ordered pairs of rational numbers on a rectangular coordinate system Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet. 28

30 , correlated to 2005 Lesson 8.6 (pp ) Writing Linear Equations Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Identify the horizontal and vertical intercepts of a linear relation from a graph or table Determine the slope of a linear relation from a graph or ordered pairs Create a table, graph, or algebraic expression to represent the relationship between two variables Graph ordered pairs of rational numbers on a rectangular coordinate system Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet Make predictions and describe the limitations of the predictions when using data samples. 29

31 , correlated to 2005 Lesson 8.7 (pp ) Function Notation Compute with percents, including those greater than 100% and less than 1% Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers) Evaluate algebraic expressions when given values for the variable(s) Evaluate algebraic expressions when given values for the variable(s) Identify the horizontal and vertical intercepts of a linear relation from a graph or table Determine the slope of a linear relation from a graph or ordered pairs Create a table, graph, or algebraic expression to represent the relationship between two variables Graph ordered pairs of rational numbers on a rectangular coordinate system. 30

32 , correlated to 2005 Lesson 8.8 (pp ) Systems of Linear Equations Represent very large and very small numbers using scientific notation Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers) Determine the slope of a linear relation from a graph or ordered pairs Create a table, graph, or algebraic expression to represent the relationship between two variables Graph ordered pairs of rational numbers on a rectangular coordinate system Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 31

33 , correlated to 2005 Lesson 8.9 (pp ) Graphs of Linear Inequalities Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Create a table, graph, or algebraic expression to represent the relationship between two variables Graph ordered pairs of rational numbers on a rectangular coordinate system Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 32

34 , correlated to 2005 Chapter 9 (pp ) Lesson 9.1 (pp ) Square Roots Lesson 9.2 (pp ) Simplifying Square Roots Lesson 9.3 (pp ) The Pythagorean Theorem Lesson 9.4 (pp ) Real Numbers Recognize and create equivalent forms of a rational number Compute with percents, including those greater than 100% and less than 1% Recognize and create equivalent forms of a rational number Evaluate algebraic expressions when given values for the variable(s) Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication Find an approximate location of a rational number on a number line Compare and order rational numbers Evaluate algebraic expressions when given values for the variable(s) Determine the slope of a linear relation from a graph or ordered pairs. Lesson 9.5 (pp ) The Distance and Midpoint Formulas Lesson 9.6 (pp ) Special Right Triangles Lesson 9.7 (pp ) The Tangent Ratio Lesson 9.8 (pp ) The Sine and Cosine Ratios Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet Compare and order rational numbers Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet Solve problems using simple proportions Measure angles, perimeter, area, and volume using the correct size and type of units Measure inaccessible heights or distances using similar triangles Measure angles, perimeter, area, and volume using the correct size and type of units. 33

35 , correlated to 2005 Chapter 10 (pp ) Measurement, Area, and Volume Lesson 10.1 (pp ) Triangles Lesson 10.2 (pp ) Polygons and Quadrilaterals Classify two and three dimensional objects according to the defining characteristics Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Create a table, graph, or algebraic expression to represent the relationship between two variables Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. Lesson 10.3 (pp ) Areas of Parallelograms and Trapezoids Classify two and three dimensional objects according to the defining characteristics Classify two and three dimensional objects according to the defining characteristics Measure angles, perimeter, area, and volume using the correct size and type of units Develop formulas for calculating the circumference of circles and the areas of triangles, parallelograms, and trapezoids. Lesson 10.4 (pp ) Circumference and Area of a Circle Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas Classify two and three dimensional objects according to the defining characteristics Measure angles, perimeter, area, and volume using the correct size and type of units Develop formulas for calculating the circumference of circles and the areas of triangles, parallelograms, and trapezoids Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas. 34

36 , correlated to 2005 Lesson 10.5 (pp ) Surface Areas of Prisms and Cylinders Classify two and three dimensional objects according to the defining characteristics Calculate surface area and volume of right prisms and cylinders using appropriate units. Lesson 10.6 (pp ) Surface Areas of Pyramids and Cones Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas Classify two and three dimensional objects according to the defining characteristics Measure inaccessible heights or distances using similar triangles Calculate surface area and volume of right prisms and cylinders using appropriate units Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas. 35

37 , correlated to 2005 Lesson 10.7 (pp ) Volumes of Prisms and Cylinders Determine the slope of a linear relation from a graph or ordered pairs Classify two and three dimensional objects according to the defining characteristics Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects Estimate measurable quantities in both standard and metric units, e.g., a vase holds a little less than a quart or about a liter; a 10K run is about 6 miles Convert from one unit of measure to an equivalent unit of measure using a given conversion factor, e.g., 60 miles/hour 1 hour/3600 sec 5280 ft/1mile = 88 ft/sec Measure angles, perimeter, area, and volume using the correct size and type of units Calculate surface area and volume of right prisms and cylinders using appropriate units. Lesson 10.8 (pp ) Volumes of Pyramids and Cones Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas Find missing lengths of similar plane figures using proportions Classify two and three dimensional objects according to the defining characteristics Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects Measure angles, perimeter, area, and volume using the correct size and type of units Calculate surface area and volume of right prisms and cylinders using appropriate units Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas. 36

38 , correlated to 2005 Chapter 11 (pp ) Data Analysis and Probability Lesson 11.1 (pp ) Stem-and-Leaf Plots and Histograms Determine the slope of a linear relation from a graph or ordered pairs Organize and display data using graphical representations such as line plots, bar graphs, stem and leaf plots, histograms, scatter plots, circle graphs, box plots (box and whisker plots), and pictographs Make conjectures from a graphical representation Calculate the mean, median, mode, and range for a data set Choose a measure of central tendency most appropriate to analyze a particular set of data. Lesson 11.2 (pp ) Box-and-Whisker Plots Interpret and describe the spread of a set of data, e g., range, box plot (box and whisker) Measure angles, perimeter, area, and volume using the correct size and type of units Calculate surface area and volume of right prisms and cylinders using appropriate units Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas Organize and display data using graphical representations such as line plots, bar graphs, stem and leaf plots, histograms, scatter plots, circle graphs, box plots (box and whisker plots), and pictographs Make conjectures from a graphical representation Calculate the mean, median, mode, and range for a data set Choose a measure of central tendency most appropriate to analyze a particular set of data Interpret and describe the spread of a set of data, e g., range, box plot (box and whisker). 37

39 , correlated to 2005 Lesson 11.3 (pp ) Using Data Displays Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas Organize and display data using graphical representations such as line plots, bar graphs, stem and leaf plots, histograms, scatter plots, circle graphs, box plots (box and whisker plots), and pictographs Make conjectures from a graphical representation Calculate the mean, median, mode, and range for a data set Choose a measure of central tendency most appropriate to analyze a particular set of data. Lesson 11.4 (pp ) Collecting Data Interpret and describe the spread of a set of data, e g., range, box plot (box and whisker) Conduct a survey or experiment to collect data Organize and display data using graphical representations such as line plots, bar graphs, stem and leaf plots, histograms, scatter plots, circle graphs, box plots (box and whisker plots), and pictographs Calculate the mean, median, mode, and range for a data set. Lesson 11.5 (pp ) Interpreting Data Evaluate reported inferences or predictions based on a data set Make conjectures from a graphical representation Make predictions and describe the limitations of the predictions when using data samples Evaluate reported inferences or predictions based on a data set. 38

40 , correlated to 2005 Lesson 11.6 (pp ) Permutations Organize and display data using graphical representations such as line plots, bar graphs, stem and leaf plots, histograms, scatter plots, circle graphs, box plots (box and whisker plots), and pictographs Interpret and describe the spread of a set of data, e g., range, box plot (box and whisker) Derive the probability of an event mathematically, e g., building a table or tree diagram, creating an area model, making a list, or using the basic counting principle. Lesson 11.7 (pp ) Combinations Represent the probability of an event as a fraction, percent, ratio, or decimal Organize and display data using graphical representations such as line plots, bar graphs, stem and leaf plots, histograms, scatter plots, circle graphs, box plots (box and whisker plots), and pictographs Interpret and describe the spread of a set of data, e g., range, box plot (box and whisker). Lesson 11.8 (pp ) Probabilities of Disjoint and Overlapping Events Derive the probability of an event mathematically, e g., building a table or tree diagram, creating an area model, making a list, or using the basic counting principle Conduct a survey or experiment to collect data Conduct experiments to approximate the probability of simple events Derive the probability of an event mathematically, e g., building a table or tree diagram, creating an area model, making a list, or using the basic counting principle Represent the probability of an event as a fraction, percent, ratio, or decimal Identify mutually exclusive events Recognize that the sum of the probability of an event and the probability of its complement is equal to one Determine whether a game or process is fair. 39

41 , correlated to 2005 Lesson 11.9 (pp ) Independent and Dependent Events Make predictions and describe the limitations of the predictions when using data samples Conduct experiments to approximate the probability of simple events Conduct experiments to approximate the probability of simple events Recognize that results of an experiment more closely approximate the actual or theoretical probability of an event as the number of trials increases Represent the probability of an event as a fraction, percent, ratio, or decimal Recognize that the sum of the probability of an event and the probability of its complement is equal to one Determine whether a game or process is fair. 40

42 , correlated to 2005 Chapter 12 (pp ) Lesson 12.1 (pp ) Polynomials Lesson 12.2 (pp ) Adding and Subtracting Polynomials Lesson 12.3 (pp ) Multiplying Monomials and Polynomials Lesson 12.4 (pp ) Multiplying Binomials Lesson 12.5 (pp ) Other Rules of Exponents Lesson 12.6 (pp ) Quadratic Functions Represent the probability of an event as a fraction, percent, ratio, or decimal Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication Recognize and create equivalent forms of a rational number Convert from one unit of measure to an equivalent unit of measure using a given conversion factor, e.g., 60 miles/hour 1 hour/3600 sec 5280 ft/1mile = 88 ft/sec Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Solve one and two step single variable equations and inequalities Create a table, graph, or algebraic expression to represent the relationship between two variables. 41

43 , correlated to 2005 Lesson 12.7 (pp ) Exponential Growth and Decay Recognize and create equivalent forms of a rational number Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Describe simple patterns using a mathematical rule or algebraic expression Solve one and two step single variable equations and inequalities Create a table, graph, or algebraic expression to represent the relationship between two variables. Lesson 12.8 (pp ) Sequences Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet Describe simple patterns using a mathematical rule or algebraic expression Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers) Solve one and two step single variable equations and inequalities Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet. 42

44 , correlated to 2005 Chapter 13 (pp ) Lesson 13.1 (pp ) Angle Relationships Lesson 13.2 (pp ) Angles and Parallel Lines Lesson 13.3 (pp ) Angles and Polygons Lesson 13.4 (pp ) Translations Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers) Classify two and three dimensional objects according to the defining characteristics Graph ordered pairs of rational numbers on a rectangular coordinate system. Lesson 13.5 (pp ) Reflections and Symmetry Translate a geometric shape a given distance on a coordinate plane and identify the vertices Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules Create a table, graph, or algebraic expression to represent the relationship between two variables Graph ordered pairs of rational numbers on a rectangular coordinate system Reflect a geometric shape across a line in a coordinate plane and identify the coordinates of the vertices Translate a geometric shape a given distance on a coordinate plane and identify the vertices. 43

45 , correlated to 2005 Lesson 13.6 (pp ) Graph ordered pairs of rational numbers on a rectangular coordinate system Reflect a geometric shape across a line in a coordinate plane and identify the coordinates of the vertices. Lesson 13.7 (pp ) Dilations Translate a geometric shape a given distance on a coordinate plane and identify the vertices Graph ordered pairs of rational numbers on a rectangular coordinate system Create and interpret scale drawings Solve problems involving scale factors using ratios and proportions. 44

46 UT / CC2

### Pre-Algebra - MA1100. Topic Lesson Objectives. Variables and Expressions

Variables and Expressions Problem Solving: Using a Problem-Solving Plan Use a four-step plan to solve problems. Choose an appropriate method of computation. Numbers and Expressions Use the order of operations

### Grade 7 Math Course Lesson Plan: 34 weeks

Grade 7 Math Course Lesson Plan: 34 weeks Welcome to Thinkwell s 7th Grade Math! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson plan is meant to be a guide

### Math Content

2012-2013 Math Content PATHWAY TO ALGEBRA I Unit Lesson Section Number and Operations in Base Ten Place Value with Whole Numbers Place Value and Rounding Addition and Subtraction Concepts Regrouping Concepts

### SEVENTH GRADE Pre-Algebra Revised June 2010

SEVENTH GRADE Pre-Algebra Revised June 2010 Billings Public Schools Correlation and Guide Math - McDougal Littell Middle School Math 2004 (Chapter Order: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13) Chapter

### Math Foundations IIB Grade Levels 9-12

Math Foundations IIB Grade Levels 9-12 Math Foundations IIB introduces students to the following concepts: integers coordinate graphing ratio and proportion multi-step equations and inequalities points,

### Course: Math 7. engage in problem solving, communicating, reasoning, connecting, and representing

Course: Math 7 Decimals and Integers 1-1 Estimation Strategies. Estimate by rounding, front-end estimation, and compatible numbers. Prentice Hall Textbook - Course 2 7.M.0 ~ Measurement Strand ~ Students

### Whole Numbers and Integers (44 topics, no due date)

Course Name: PreAlgebra into Algebra Summer Hwk Course Code: GHMKU-KPMR9 ALEKS Course: Pre-Algebra Instructor: Ms. Rhame Course Dates: Begin: 05/30/2015 End: 12/31/2015 Course Content: 302 topics Whole

### MATH Activities ver3

MATH Activities ver3 This content summary list is for the 2011-12 school year. Detailed Content Alignment Documents to State & Common Core Standards are posted on www.pendalearning.com NOTE: Penda continues

### Unit 1, Review Transitioning from Previous Mathematics Instructional Resources: McDougal Littell: Course 1

Unit 1, Review Transitioning from Previous Mathematics Transitioning from previous mathematics to Sixth Grade Mathematics Understand the relationship between decimals, fractions and percents and demonstrate

### Course Title: Honors Algebra Course Level: Honors Textbook: Algebra 1 Publisher: McDougall Littell

Course Title: Honors Algebra Course Level: Honors Textbook: Algebra Publisher: McDougall Littell The following is a list of key topics studied in Honors Algebra. Identify and use the properties of operations

Algebra I COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics, with an emphasis

### Curriculum Map Grade: _7 th Basic Math School: _ Middle Date: Oct. 31/2009

August/ September Review basic skills of add, subtract, multiply, and divide whole numbers and fractions. (skill with a # assessed locally.) Students will add, subtract, multiply, and divide positive rational

### Middle Grades Mathematics 5 9

Middle Grades Mathematics 5 9 Section 25 1 Knowledge of mathematics through problem solving 1. Identify appropriate mathematical problems from real-world situations. 2. Apply problem-solving strategies

### KEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007

KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 4-47) Surveys and

Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### Sixth Grade Math Pacing Guide Page County Public Schools MATH 6/7 1st Nine Weeks: Days Unit: Decimals B

Sixth Grade Math Pacing Guide MATH 6/7 1 st Nine Weeks: Unit: Decimals 6.4 Compare and order whole numbers and decimals using concrete materials, drawings, pictures and mathematical symbols. 6.6B Find

### ALGEBRA 1/ALGEBRA 1 HONORS

ALGEBRA 1/ALGEBRA 1 HONORS CREDIT HOURS: 1.0 COURSE LENGTH: 2 Semesters COURSE DESCRIPTION The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical

### Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

### Lesson List. Unit and Lesson Number Lesson Title Notes

Middle School Pre-Algebra Common Core Appendix Information K 12 has revised Middle School Pre-Algebra to align the course with Common Core State Standards (CCSS). To do this, we created an appendix of

### Algebra I Pacing Guide Days Units Notes 9 Chapter 1 ( , )

Algebra I Pacing Guide Days Units Notes 9 Chapter 1 (1.1-1.4, 1.6-1.7) Expressions, Equations and Functions Differentiate between and write expressions, equations and inequalities as well as applying order

### MATHEMATICS GRADE LEVEL VOCABULARY DRAWN FROM SBAC ITEM SPECIFICATIONS VERSION 1.1 JUNE 18, 2014

VERSION 1.1 JUNE 18, 2014 MATHEMATICS GRADE LEVEL VOCABULARY DRAWN FROM SBAC ITEM SPECIFICATIONS PRESENTED BY: WASHINGTON STATE REGIONAL MATH COORDINATORS Smarter Balanced Vocabulary - From SBAC test/item

Math SYLLABUS (1 st ~ 8 th Grade, Advance, SAT/ACT) Math -- 1 st Grade 1. Kindergarteners or 1 st graders in regular school 2. At least 5 years old Syllabus 1. Numeration (0 through 99) 2. Addition (2

### Prep for College Algebra

Prep for College Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

### Tools of Algebra. Solving Equations. Solving Inequalities. Dimensional Analysis and Probability. Scope and Sequence. Algebra I

Scope and Sequence Algebra I Tools of Algebra CLE 3102.1.1, CFU 3102.1.10, CFU 3102.1.9, CFU 3102.2.1, CFU 3102.2.2, CFU 3102.2.7, CFU 3102.2.8, SPI 3102.1.3, SPI 3102.2.3, SPI 3102.4.1, 1-2 Using Variables,

### Math Foundations IIA Grade Levels 9-12

Math Foundations IIA Grade Levels 9-12 Math Foundations IIA introduces students to the following concepts: order of operations squares and square root multiplying decimals organizing and graphing data

### Grade Level Expectations for the Sunshine State Standards

for the Sunshine State Standards Mathematics Grades 6-8 FLORIDA DEPARTMENT OF EDUCATION http://www.myfloridaeducation.com/ Strand A: Number Sense, Concepts, and Operations Standard 1: The student understands

### Prep for Calculus. Curriculum

Prep for Calculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

### New York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and Quick Review Math Handbook Book 1

New York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and The lessons that address each Performance Indicator are listed, and those in which the Performance Indicator

### Functional Math II. Information CourseTitle. Types of Instruction

Functional Math II Course Outcome Summary Riverdale School District Information CourseTitle Functional Math II Credits 0 Contact Hours 135 Instructional Area Middle School Instructional Level 8th Grade

### Unit 1, Concept 1 Number Sense, Fractions, and Algebraic Thinking Instructional Resources: Carnegie Learning: Bridge to Algebra

Unit 1, 1 Number Sense, Fractions, and Algebraic Thinking 7NS 1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers

### Algebra I Credit Recovery

Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,

### First Six Weeks (29 Days)

Mathematics Scope & Sequence Grade 6 Revised: May 2010 Topic Title Unit 1: Compare and Order, Estimate, Exponents, and Order of Operations Lesson 1-1: Comparing and Ordering Whole Numbers Lesson 1-2: Estimating

### ALGEBRA I A PLUS COURSE OUTLINE

ALGEBRA I A PLUS COURSE OUTLINE OVERVIEW: 1. Operations with Real Numbers 2. Equation Solving 3. Word Problems 4. Inequalities 5. Graphs of Functions 6. Linear Functions 7. Scatterplots and Lines of Best

### Teaching Textbooks Pre-Algebra

Teaching Textbooks Pre-Algebra Class Description: In this Pre-Algebra course, the student will utilize Teaching Textbooks Pre-Algebra to cover the standard topics, including: fractions, decimals, LCD,

### ModuMath Algebra Lessons

ModuMath Algebra Lessons Program Title 1 Getting Acquainted With Algebra 2 Order of Operations 3 Adding & Subtracting Algebraic Expressions 4 Multiplying Polynomials 5 Laws of Algebra 6 Solving Equations

### MyMathLab ecourse for Developmental Mathematics

MyMathLab ecourse for Developmental Mathematics, North Shore Community College, University of New Orleans, Orange Coast College, Normandale Community College Table of Contents Module 1: Whole Numbers and

### Higher Education Math Placement

Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

### Unit 1: Integers and Fractions

Unit 1: Integers and Fractions No Calculators!!! Order Pages (All in CC7 Vol. 1) 3-1 Integers & Absolute Value 191-194, 203-206, 195-198, 207-210 3-2 Add Integers 3-3 Subtract Integers 215-222 3-4 Multiply

### GRADES 7, 8, AND 9 BIG IDEAS

Table 1: Strand A: BIG IDEAS: MATH: NUMBER Introduce perfect squares, square roots, and all applications Introduce rational numbers (positive and negative) Introduce the meaning of negative exponents for

### Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds

Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative

### Prentice Hall Mathematics Algebra 1 2004 Correlated to: Alabama Course of Study: Mathematics (Grades 9-12)

Alabama Course of Study: Mathematics (Grades 9-12) NUMBER AND OPERATIONS 1. Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots,

### MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab

MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring non-course based remediation in developmental mathematics. This structure will

### Prentice Hall Mathematics: Course Correlated to: Alaska State Content Standards: Math (Grade 7)

Alaska State Content Standards: Math (Grade 7) A. A student should understand mathematical facts, concepts, principles, and theories. 1. understand and use numeration, including numbers, number systems,

### Math, Grades 6-8 TEKS and TAKS Alignment

111.22. Mathematics, Grade 6. 111.23. Mathematics, Grade 7. 111.24. Mathematics, Grade 8. (a) Introduction. (1) Within a well-balanced mathematics curriculum, the primary focal points are using ratios

### Greater Nanticoke Area School District Math Standards: Grade 6

Greater Nanticoke Area School District Math Standards: Grade 6 Standard 2.1 Numbers, Number Systems and Number Relationships CS2.1.8A. Represent and use numbers in equivalent forms 43. Recognize place

### Tennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes

Tennessee Mathematics Standards 2009-2010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS Curriculum TERM 1 CONTENT Properties of numbers Describe the real number system by recognizing, defining and distinguishing properties of: Natural numbers Whole numbers

### Curriculum Guide for the Academic School Year

MATH 7 Curriculum Guide for the Academic School Year 7 TH GRADE MATH CORTEZ TRAK 2014-2015 Link to: Math 7 Curriculum Framework Cortez Model covers boxed items Days Date SOL Description Cortez 14 8/18

### Pre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems

Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small

### MATHEMATICS Grade 6 Standard: Number, Number Sense and Operations

Standard: Number, Number Sense and Operations Number and Number C. Develop meaning for percents including percents greater than 1. Describe what it means to find a specific percent of a number, Systems

### Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary

Shape, Space, and Measurement- Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two- and three-dimensional shapes by demonstrating an understanding of:

### Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,

### Lesson List

2016-2017 Lesson List Table of Contents Operations and Algebraic Thinking... 3 Number and Operations in Base Ten... 6 Measurement and Data... 9 Number and Operations - Fractions...10 Financial Literacy...14

### Number Sense and Operations

Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

### Year 8 - Maths Autumn Term

Year 8 - Maths Autumn Term Whole Numbers and Decimals Order, add and subtract negative numbers. Recognise and use multiples and factors. Use divisibility tests. Recognise prime numbers. Find square numbers

### ALGEBRA I / ALGEBRA I SUPPORT

Suggested Sequence: CONCEPT MAP ALGEBRA I / ALGEBRA I SUPPORT August 2011 1. Foundations for Algebra 2. Solving Equations 3. Solving Inequalities 4. An Introduction to Functions 5. Linear Functions 6.

### Hawaii State Standards correlated to Merit Software Math Programs

Hawaii State Standards correlated to Merit Software Math Programs The Language Arts Content Standards (1999) emphasize reading, writing, oral communication, and the study of literature and language from

### Algebra. Indiana Standards 1 ST 6 WEEKS

Chapter 1 Lessons Indiana Standards - 1-1 Variables and Expressions - 1-2 Order of Operations and Evaluating Expressions - 1-3 Real Numbers and the Number Line - 1-4 Properties of Real Numbers - 1-5 Adding

### York Suburban Middle School Course Overview. Algebra 1

York Suburban Middle School Course Overview I. Course Description Algebra 1 1.0 Credit Length: School Year; Format: Meets Daily Prerequisite: Pre-Algebra Algebra 1 The Larson Algebra 1brings math to life

### Scope & Sequence MIDDLE SCHOOL

Math in Focus is a registered trademark of Times Publishing Limited. Houghton Mifflin Harcourt Publishing Company. All rights reserved. Printed in the U.S.A. 06/13 MS77941n Scope & Sequence MIDDLE SCHOOL

### RESOURCE FOR THE COURSE 1 CARNEGIE TEXTBOOK. SECTION and PAGE NUMBER TOPIC. 1.1 Pages 5-14 Factors and Multiples

RESOURCE FOR THE COURSE 1 CARNEGIE TEXTBOOK SECTION and PAGE NUMBER TOPIC 1.1 Pages 5-14 Factors and Multiples Properties of Addition and Multiplication (Commutative, Associative and Distributive) Apply

### Bedford Public Schools

Bedford Public Schools Grade 7 Math In 7 th grade, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding

### CRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide

Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are

### Prentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)

New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct

### Big Ideas in Mathematics

Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards

### Mathematics Standards

1 Table of Contents Mathematics Standards Subject Pages Algebra 1-2 2-4 Algebra 3-4 5-6 AP Calculus AB and BC Standards 7 AP Statistics Standards 8 Consumer Math 9 Geometry 1-2 10-11 Honors Differential

### PRE-ALGEBRA CONTENT STRANDS: Measurement (M)

PRE-ALGEBRA COMPETENCY: 1. Explain, classify, and perform basic operations on the set of real numbers. (P, D, M, G, N) a. Classify numbers as natural, whole, integer, rational, irrational, and real. ST:

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

### Higher Education Math Placement

Higher Education Math Placement 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry (arith050) Subtraction with borrowing (arith006) Multiplication with carry

### Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

### Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

### Math 1. Month Essential Questions Concepts/Skills/Standards Content Assessment Areas of Interaction

Binghamton High School Rev.9/21/05 Math 1 September What is the unknown? Model relationships by using Fundamental skills of 2005 variables as a shorthand way Algebra Why do we use variables? What is a

### Understanding the Progression of Math Courses in NEISD

Understanding the Progression of Math Courses in NEISD According to House Bill 1 (HB1), students in Texas are required to obtain credits for four courses in each subject area of the foundation curriculum

### Maths curriculum information

Maths curriculum information Year 7 Learning outcomes Place value, add and subtract Multiply and divide Geometry Fractions Algebra Percentages & pie charts Topics taught Place value (inc decimals) Add

### Curriculum Mapping - Key Stage 3 Subject : Mathematics Topics addressed Skills acquired Cross-curricular links Progression links to future years

Year 7 (CORE) Sequences and rules Order, add and subtract decimals Order, add and subtract negative s Rounding and estimates Paper and pencil methods to add, subtract, divide and multiply Perimeter and

### exponents order of operations expression base scientific notation SOL 8.1 Represents repeated multiplication of the number.

SOL 8.1 exponents order of operations expression base scientific notation Represents repeated multiplication of the number. 10 4 Defines the order in which operations are performed to simplify an expression.

### 1.6 Powers of 10 and standard form Write a number in standard form. Calculate with numbers in standard form.

Unit/section title 1 Number Unit objectives (Edexcel Scheme of Work Unit 1: Powers, decimals, HCF and LCM, positive and negative, roots, rounding, reciprocals, standard form, indices and surds) 1.1 Number

### Topic: Unit 1-Variables, Expressions, and Integers

Grade 7th Topic: Unit 1-Variables, Expressions, and Integers Essential Questions/Enduring CC.7.NS.1 Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and

### 8 th Grade Pre-Algebra Textbook Alignment Revised 4/28/2010

Revised 4/28/2010 September Lesson Number & Name GLCE Code & Skill #1 N.MR.08.10 Calculate weighted averages such as course grades, consumer price indices, and sports ratings. #2 D.AN.08.01 Determine which

### Campbellsport School District Understanding by Design (UbD) Template

Campbellsport School District Understanding by Design (UbD) Template Class Curriculum/Content Area: Math Course Length: 1 year Course Title: 6 th Grade Math Date last reviewed: April 24, 2015 Prerequisites:

### MATHS LEVEL DESCRIPTORS

MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and

### CHAMBERSBURG AREA SCHOOL DISTRICT COURSE OF PLANNED INSTRUCTION

CHAMBERSBURG AREA SCHOOL DISTRICT COURSE OF PLANNED INSTRUCTION SCHOOL CASHS DEPARTMENT MATH DATE 7/12/05 COURSE TITLE ALGEBRA I GRADE 8-12 COURSE LENGTH 1 YR. LESSON FREQUENCY (PER WEEK) 5 TIME 43 MIN.

### Able Enrichment Centre - Prep Level Curriculum

Able Enrichment Centre - Prep Level Curriculum Unit 1: Number Systems Number Line Converting expanded form into standard form or vice versa. Define: Prime Number, Natural Number, Integer, Rational Number,

### Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)

Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402-443- 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application

### LESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,

Saxon Math 7/6 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

### McDougal Littell California:

McDougal Littell California: Pre-Algebra Algebra 1 correlated to the California Math Content s Grades 7 8 McDougal Littell California Pre-Algebra Components: Pupil Edition (PE), Teacher s Edition (TE),

### Mathematics VI Grade Level 6

Mathematics VI The Mathematics VI course includes topics such as: geometric measurements using scales coordinate planes formulas and pi 1 Teachers' Guide COURSE DESCRIPTION: The Anywhere Learning System

### Pre-Algebra IA Grade Level 8

Pre-Algebra IA Pre-Algebra IA introduces students to the following concepts and functions: number notation decimals operational symbols inverse operations of multiplication and division rules for solving

### High School Mathematics Algebra

High School Mathematics Algebra This course is designed to give students the foundation of understanding algebra at a moderate pace. Essential material will be covered to prepare the students for Geometry.

### Advanced Algebra 2. I. Equations and Inequalities

Advanced Algebra 2 I. Equations and Inequalities A. Real Numbers and Number Operations 6.A.5, 6.B.5, 7.C.5 1) Graph numbers on a number line 2) Order real numbers 3) Identify properties of real numbers

### Algebra 1 Chapter 3 Vocabulary. equivalent - Equations with the same solutions as the original equation are called.

Chapter 3 Vocabulary equivalent - Equations with the same solutions as the original equation are called. formula - An algebraic equation that relates two or more real-life quantities. unit rate - A rate

### MAT 0950 Course Objectives

MAT 0950 Course Objectives 5/15/20134/27/2009 A student should be able to R1. Do long division. R2. Divide by multiples of 10. R3. Use multiplication to check quotients. 1. Identify whole numbers. 2. Identify

### Math Grade 11 Assessment Anchors and Eligible Content

Math Grade 11 Assessment Anchors and Eligible Content Pennsylvania Department of Education www.pde.state.pa.us Updated August 2010 M11.A Numbers and Operations M11.A.1 Demonstrate an understanding of numbers,

### COGNITIVE TUTOR ALGEBRA

COGNITIVE TUTOR ALGEBRA Numbers and Operations Standard: Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers,

### Florida Math 0028. Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper

Florida Math 0028 Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper Exponents & Polynomials MDECU1: Applies the order of operations to evaluate algebraic