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


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1 Course: Math 7 Decimals and Integers 11 Estimation Strategies. Estimate by rounding, frontend estimation, and compatible numbers. Prentice Hall Textbook  Course 2 7.M.0 ~ Measurement Strand ~ Students engage in problem solving, communicating, reasoning, connecting, and representing 12 Addition and subtraction of decimals. 13 Multiplication and division of decimals. 14 Metric unit measurement. 15 Problem solving plan. 16 Compare and order integers. Add and subtract decimals and use the properties of addition. Worksheets 7.M.1 ~ Select, convert (within the same system of measurement), and use appropriate units of measurement or scale. standard 8.M.1. Multiply and divide decimals. Video streaming 7.M.5 ~ Find, describe, and interpret appropriate measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data. Use these notions to compare different sets of data. This standard is intentionally the same as standard 8.D.3. Use and change metric units. Various games. 7.N.0 ~ Number Sense and Operation Strand ~ Studetns engage in problem connecting, and representing Use a problem solving plan. Graph paper. 7.N.1 ~ Compare, order, estimate, and translate among integers, fractions and mixed numbers (i.e., rational numbers), decimals, and percents. This standard is intentionally the same as standard 8.N.1. Find opposites and absolute values. Graph and order integers. Add and subtract integers. Find range. Calculators. 7.N.4 ~ Demonstrate an understanding of absolute value. This standard is intentionally the same as standard 8.N.6. 7.N.7 ~ Estimate and compute with fractions (including simplification of fractions), integers, decimals, and percents (including those greater than 100 and less than 1). standard 8.N Addition and subtraction of integers.
2 Multiply and divide integers. 7.N.8 ~ Determine when an estimate rather than an exact answer is appropriate and apply in problem situations. This standard is intentionally the same as standard 8.N Multiplication and division of integers. 19 Order of operations and the distributive property Mean, median and mode. Use order of operations and the distributive property. Find the mean, median and mode. Equations and Inequalities 21 Evaluate and write algebraic expressions. Evaluating and writing algebraic expressions. Prentice Hall Mathematics  Course 2 7.N.0 ~ Number Sense and Operation Strand ~ Studetns engage in problem connecting, and representing 22 Using number sense to solve equations. Solving onestep equations using number sense. 7.N.6 ~ Use the inverse relationships of addition and subtraction, and of multiplication and division, to simplify computations and solve problems. 23 Solving equations by adding or subtracting. 24 Solving equations by multiplying or dividing. Solving equations by adding or subtracting. Manipulatives. 7.N.9 ~ Select and use appropriate operationsaddition, subtraction, multiplication, division, and positive integer exponentsto solve problems with rational numbers (including negatives). This standard is intentionally the same as standard 8.N.12. Solving equations by multiplying or dividing. Various games. 7.P.0 ~ Patterns, Relations, and algebra strand ~ Students engage in problem connecting, and representing. 26 Solving twostep equations. Writing and evaluating expressions with two operations. Calculators. 7.P.2 ~ Evaluate simple algebraic expressions for given variable values. This standard is intentionally the same as standard 8.P Problem solving: write an equation. Solving twostep equations. Graph paper. 7.P.3 ~ Create and use symbolic expressions for linear relationships and relate them to verbal, tabular, and graphical representations. 28 Graphing and writing inequalities. Solving problems by writing equations. 7.P.4 ~ Solve linear equations using tables, graphs, models, and algebraic methods.
3 29 Solving inequalities by adding or subtracting Solving inequalities by multiplying or dividing. Graphing and writing inequalities. Solving inequalities by adding or subtracting. Solving inequalities by multiplying or dividing. Exponents, Factors and Fractions 31 Exponents and order of operations. Write numbers and simplify expressions with exponents. Prentice Hall Mathematics  Course 2 7.N.0 ~ Number Sense and Operation Strand ~ Studetns engage in problem connecting, and representing 32 Scientific notation. Write numbers in scientific notation and standard form. 7.N.1 ~ Compare, order, estimate, and translate among integers, fractions and mixed numbers (i.e., rational numbers), decimals, and percents. This standard is intentionally the same as standard 8.N Divisibility tests. Use divisibility tests. Various games. 7.N.3 ~ Represent numbers in scientific notation (positive powers of ten only) and use that notation in problem situations. 34 Prime Factorization. Find multiples and factors and use prime factorization. Write equivalent fractions and simplify fractions. Compare and order fractions. Graph paper. Math Muncher Computer Activity 7.N.5 ~ Apply the rules of positive integer exponents to the solution of problems. Extend the Order of Operations to include positive integer exponents. 7.N.7 ~ Estimate and compute with fractions (including simplification of fractions), integers, decimals, and percents (including those greater than 100 and less than 1). standard 8.N , 36 Fractions. 37 Problem solving with patterns. Solve a simpler problem by combining strategies and looking for a pattern. Write mixed numbers as improper fractions and improper fractions as mixed numbers. Manipulatives. 7.P.2 ~ Evaluate simple algebraic expressions for given variable values. This standard is intentionally the same as standard 8.P Mixed Numbers and Improper Fractions. 39 Fractions and decimals Rational numbers. Relate fractions and decimals. Compare and order rational numbers.
4 Operations with Fractions 41 Estimation with fractions and mixed numbers. Estimate sums, differences, products and quotients. Prentice Hall Mathematics  Course 2 7.M.0 ~ Measurement Strand ~ Students engage in problem solving, communicating, reasoning, connecting, and representing 42 Addition and subtraction of fractions. Add and subtract fractions. 7.M.1 ~ Select, convert (within the same system of measurement), and use appropriate units of measurement or scale. standard 8.M Addition and subtraction of mixed numbers. Add and subtract mixed numbers. Various games. 7.M.2 ~ Given the formulas, convert from one system of measurement to another. Use technology as appropriate. This standard is intentionally the same as standard 8.M Multiplication of fractions and mixed numbers. Multiply fractions and mixed numbers. Graph paper. 7.N.0 ~ Number Sense and Operation Strand ~ Studetns engage in problem connecting, and representing 45 Division of fraction and mixed numbers. Divide fractions and mixed numbers. Calculators. 7.N.1 ~ Compare, order, estimate, and translate among integers, fractions and mixed numbers (i.e., rational numbers), decimals, and percents. This standard is intentionally the same as standard 8.N Solve equations with fractions. Solve onestep and twostep equations. 7.N.6 ~ Use the inverse relationships of addition and subtraction, and of multiplication and division, to simplify computations and solve problems. 47 Problem solving: Try, check, and revise and work backward. Solve a problem using two different methods. 7.N.7 ~ Estimate and compute with fractions (including simplification of fractions), integers, decimals, and percents (including those greater than 100 and less than 1). standard 8.N Customary System. Change units of length, capacity, weight. 7.N.8 ~ Determine when an estimate rather than an exact answer is appropriate and apply in problem situations. This standard is intentionally the same as standard 8.N.11.
5 7.N.9 ~ Select and use appropriate operationsaddition, subtraction, multiplication, division, and positive integer exponentsto solve problems with rational numbers (including negatives). This standard is intentionally the same as standard 8.N.12. Ratios, Rates, and Proportions 51 Ratios Write ratios and find equal ratios. Prentice Hall Mathematics  Course 2 7.G.0 ~ Geometry Strand ~ Students engage in problem solving, communicating, reasoning, connecting, and representing 52 Unit rates and proportional reasoning. Find unit rates and use unit prices. 7.G.2 ~ Classify figures in terms of congruence and similarity, and apply these relationships to the solution of problems. standard 8.G Problem solving using a diagram. Solve a problem using two different methods involving drawing a diagram. 7.N.0 ~ Number Sense and Operation Strand ~ Studetns engage in problem connecting, and representing 54 Proportions. Test ratios and use cross products. Calculators. 7.N.2 ~ Use ratios and proportions in the solution of problems involving unit rates, scale drawings, and reading of maps. 55 Solving proportions. Solve proportions using unit rates and variables. 56 Similar figures. Identify similar figures and find missing lengths. Various games. Video streaming 57 Maps and scale drawings. Solve problems involving scale. Percents 61 Percents Modeling percents and writing percents using equal ratios. Prentice Hall Mathematics  Course 2 M.01.8.N.01 ~ Compare, order, estimate, and translate among integers, fractions and mixed numbers (i.e., rational numbers), decimals, and percents. 62 Percents, fractions, and decimals. Converting and comparing percent and decimals and percents and fractions. M.01.8.N.03 ~ Use ratios and proportions in the solution of problems, in particular, problems involving unit rates, scale factors, and rate of change.
6 63 Percents greater than 100% or less than Use percents greater than 100% or less 1%. than 1%. 64 Percent of a number. Use percent to find part of a whole. Use mental math and estimation with percents. Manipulatives. M.01.8.N.10 ~ Estimate and compute with fractions (including simplification of fractions), integers, decimals, and percents (including those greater than 100 and less than 1). M.01.8.N.12 ~ Select and use appropriate operationsaddition, subtraction, multiplication, division, and positive integer exponentsto solve problems with rational numbers (including negatives). 65 Percent problems using proportions. Find the percent or whole using proportions. Calculators. 66 Percent problems using equations. Write and solve percent equations. Various games. 67 Applications of percent. Find tax, tip, and commission. Video streaming. 68 Percent of change. Find percent of increase or decrease. 69 Problem solving: write and equation. Solve problems by writing equations. Geometry 71 Lines and planes. Identifying segments, rays, and lines. Prentice Hall Mathematics  Course 2 7.G.0 ~ Geometry Strand ~ Students engage in problem solving, communicating, reasoning, connecting, and representing 72 Measurement and classification of angles. Measure and describe angles and work with pairs of angles. 7.G.1 ~ Analyze, apply, and explain the relationship between the number of sides and the sums of the interior angle measures of polygons. 73 Construction of bisectors. Construct segment bisectors and angle bisectors. 74 Triangles. Classify triangles. Find measures of angles in a triangle. 75 Quadrilaterals and other polygons. Classify polygons. Identify special quadrilaterals. Manipulatives. Various games. 7.G.2 ~ Classify figures in terms of congruence and similarity, and apply these relationships to the solution of problems. standard 8.G.2. 7.G.3 ~ Demonstrate an understanding of the relationships of angles formed by intersecting lines, including parallel lines cut by a transversal. This standard is intentionally the same as standard 8.G.3. 7.G.5 ~ Use a ruler, protractor, and compass to draw polygons and circles. 76 Draw a diagram and look for a pattern. Use multiple strategies to solve a problem including drawing a diagram and looking for a pattern. Video streaming.
7 77 Congruent figures. Identify and work with congruent figures. Ruler. 78 Circles. Identify parts of a circle. Protractor. 79 Circle graphs. Analyze and construct circle graphs. Compass. Geometry and Measurement 81 Estimating length and area. Estimate length and area. Prentice Hall Mathematics  Course 2 7.G.0 ~ Geometry Strand ~ Students engage in problem solving, communicating, reasoning, connecting, and representing 82 Areas of parallelograms and triangles. Find the areas of parallelograms and triangles. 83 Areas of other figures. Find the areas of trapezoids and irregular figures. 7.G.5 ~ Use a ruler, protractor, and compass to draw polygons and circles. 7.G.7 ~ Identify threedimensional figures by their physical appearance, distinguishing attributes, and spatial relationships such as parallel faces. This standard is intentionally the same as standard 8.G Circumferences and areas of circles. Find the circumference and area of a circle. Protractor. 7.M.3 ~ Demonstrate an understanding of the concepts and apply formulas and procedures for determining measures, including those of area and perimeter/circumference of parallelograms, trapezoids, and circles. Given the formulas, determine the surface area and volume of rectangular prisms and cylinders. Use technology as appropriate. 85 Square roots and irrational numbers. Find square roots and classify numbers. Ruler. 86 The Pythagorean Theorem. Use the Pythagorean Theorem. Video streaming. 87 ThreeDimensional Figures. Identify and draw threedimensional figures. Various games. 88 Surface areas of prisms and cylinders. Draw a net and find surface areas using nets. 89 Volumes of rectangular prisms and cylinders Try, check, and revise and write an equation. Find the volumes of prisms and cylinders. Solve a problem in two different ways.
8 Patterns and Rules 91 Patterns and graphs. Make graphs and use them to make estimates. 92 Number sequences. Make graphs. Use graphs to make estimates. Prentice Hall Mathematics  Course 2 7.M.4 ~ Select, create, interpret, and utilize the following tabular and graphical representations of data: circle graphs, Venn diagrams, stemandleaf plots, tables, and charts. 7.P.0 ~ Patterns, Relations, and algebra strand ~ Students engage in problem connecting, and representing. 93 Patterns and tables. 7.P.1 ~ Extend, represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic expressions. Include arithmetic and geometric progressions. This standard is intentionally the same as standard 8.P Function rules Represent patterns in tables. Write rules using tables. Calculators. 7.P.3 ~ Create and use symbolic expressions for linear relationships and relate them to verbal, tabular, and graphical representations. 95 Using tables, rules and graphs. Write function rules. Evaluate functions. Various games. 96 Interpreting graphs. Graph functions. Hot Dog Stand Computer Game. 97 Simple and compound interest. Describe and sketch graphs. 98 Problem solving: write an equation. Find simple and compound interest. 99 Transforming formulas. Solve problems by writing equations. Solve for a variable. Graphing in the Coordinate Plane 101 Graphing points in four quadrants. Graph points on the coordinate plane. Prentice Hall Mathematics  Course 2 7.G.4 ~ Graph points and identify coordinates of points on the Cartesian coordinate plane (all four quadrants). (Standard 7.G.4 is intentionally the same standard as 6.G.4, which is not currently being assessed at grade 6. Standard 7.G.4 will be assessed at grade 7.) 102 Graphing linear equations. Find ordered pairs. Graph linear equations. 7.G.6 ~ Predict the results of translations and reflections of figures on unmarked or coordinate planes and draw the transformed figure.
9 103 Finding the slope of a line. Find and use the slope of a line. 7.P.0 ~ Patterns, Relations, and algebra strand ~ Students engage in problem connecting, and representing Exploring nonlinear relationships. Graph paper. 7.P.3 ~ Create and use symbolic expressions for linear relationships and relate them to verbal, tabular, and graphical representations. Graph nonlinear equations Make a table and make a graph. Rulers. 7.P.4 ~ Solve linear equations using tables, graphs, models, and algebraic methods. Solve a problem by combining strategies Translations. Video streaming. 7.P.5 ~ Identify, describe, and analyze linear relationships between two variables. Compare positive rate of change to negative rate of change. Graph and write rules for translations Symmetry and reflections. 7.P.6 ~ Use linear equations to model and analyze problems involving proportional relationships. Use technology as appropriate. This standard is intentionally the same as standard 8.P.9 Identify lines of symmetry. Graph reflections Rotations. Identify rotational symmetry. Rotate a figure about a point. Displaying and Analyzing Data 111 Reporting frequency. Make a frequency table, line plot and histogram. Prentice Hall Mathematics  Course 2 7.M.4 ~ Select, create, interpret, and utilize the following tabular and graphical representations of data: circle graphs, Venn diagrams, stemandleaf plots, tables, and charts Spreadsheets and data displays. Use a spreadsheet and interpret double bar and double line graphs. 7.P.1 ~ Extend, represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic expressions. Include arithmetic and geometric progressions. This standard is intentionally the same as standard 8.P Other displays. Make a stemandleaf plot and boxandwhisker plot. 7.P.3 ~ Create and use symbolic expressions for linear relationships and relate them to verbal, tabular, and graphical representations.
10 114 Problem Solving: Make a table and use Use multiple strategies to solve problems. Video streaming. 7.P.4 ~ Solve linear equations using tables, logical reasoning. graphs, models, and algebraic methods Random samples and surveys. Identify a random sample and write a survey question. Graph paper Estimating population size. Use the capture/recapture method. Calculator Using data to persuade. Identify misleading graphs and misleading statistics Exploring scatter plots. Draw and interpret scatter plots. Using Probablity 121 Probability. Find the probability, the complement and the Prentice Hall Mathematics  Course 2 7.M.6 ~ Use tree diagrams, tables, odds of an event. organized lists, and area models to compute probabilities for simple compound events Experimental Probability. Find experimental probability Problem solving: Make an organized list and simulate a problem. Find a sample space using the counting principle Sample spaces. Finding the probability of independent and dependent events. Video streaming Compound events. Graph paper. Number cubes. Calculator.
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