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

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1 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 numbers. Students will be assessed by timed basic facts quiz and review skills by teacher made worksheets and quizzes. Alg.1.B. Analyze patterns represented graphically or numerically with words or symbolic rules, including recursive notation. Alg.1.C. Compare and contrast various forms of representations of patterns. Geo.4.B. Draw or use visual models to represent and solve problems. Unit 1: Number Sense, Patterns, and Algebraic Thinking Unit 1.1: Students will identify and extend a geometric sequence and a visual sequence. Unit 1.2: Students will identify, simplify, and evaluate variable expressions Unit 1.3: Students will recognize equivalent representations for the same number and generate them, including exponential notation. Unit 1.4: Students will apply properties of operations (including order of operations) to positive rational no. Unit 1.5: Students will use mental math to solve simple one step equations. Unit 1.6: Students will draw or use visual models to.

2 represent and solve problems. September Unit 1.7: Students will use a 4-Step problem solving plan to solve problems. Num.1.C. # Recognize equivalent representations for the same number and generate them by decomposing and composing numbers Num.2.B. # Describe the effects of all operations on rational numbers including integers. Num.2.C. Apply properties of operations (including order of operations) to positive rational numbers and integers. Num.3.C. Apply operations on rational numbers including integers. Num.3.D. # Estimate and justify the results of all operations on rational numbers. Unit 6: Integer and Rational Number Operations, Comparing, the Distributive Property and Graphing. Unit 6.1: Students will compare and order integers. Unit 6.2: Students will add integers. Unit 6.3: Students will subtract integers. Unit 6.4: Students will multiply integers. Unit 6.5: Students will divide integers. Unit 6.6: Students will apply properties of operations on rational numbers. Unit 6.7: Students will apply the distributive property to solve problems..

3 October Unit 6.8: Students will solve problems using the coordinate graph. Num.1.A. Compare and order all positive rational numbers and find their approximate location on a number line. Num.1.B. Recognize and generate equivalent forms of fractions, decimals and percents. Alg.3.A. Model and solve problems, using multiple representations such as graphs, tables, expressions, and linear equations. Unit 4: Factors, Multiples, Comparing Fractions, Mixed Numbers, and Fractions as Decimals. Unit 4.1: Students will use whole number factors to identify prime or composite factors. Unit 4.3: Students will find equivalent forms of fractions as well as reduced fractions. Unit 4.5: Students will compare and order fractions. Unit 4.6: Students will compare and order mixed numbers and improper fractions. Unit 4.7: Students will convert fractions to decimals and decimals to fractions..

4 October Alg.1.D. Identify functions as linear or nonlinear from tables, graphs or equations. Alg.2.A. Use symbolic algebra to represent unknown quantities in expressions or equations and solve linear equations with one variable. Alg.2.B. Use properties to generate equivalent forms for simple algebraic expressions that include positive rationals and integers. Unit 7: Write and Simplify Expressions, Solve Equations and Inequalities as well as Use Tables and Graphs to Represent Functions. Unit 7.1: Students will write simple algebraic expressions and equations. Unit 7.2: Students will simplify equivalent forms of simple algebraic expressions. Unit 7.3: Students will solve simple algebraic equations using addition or subtraction.. Unit 7.4: Students will solve simple algebraic equations using multiplication or division. Unit 7.7: Students will write and evaluate functions. Unit 7.8: Students will graph functions in a coordinate plane.

5 November Geo.1.B. Describe relationships between corresponding sides, corresponding angles and corresponding perimeters of similar polygons. Unit 6: Integer and Rational Number Operations, Comparing, the Distributive Property and Graphing Unit 6.8: Students will solve problems using the coordinate graph.. Geo.2.A. Use coordinate geometry to construct and identify geometric shapes in the coordinate plane using their properties. Unit 10: Explore angles, triangles, polygons, congruent and similar figures, as well as transformations of geometric shapes.. Unit 10.1: Students will classify and measure angles. Unit 10.2: Students will classify and measure special pairs of angles. Unit 10.3: Students will classify triangles. Unit 10.5: Students will classify similar and congruent polygons.

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7 November Data.1.C. Select, create and use appropriate graphical representations of data, including circle graphs, histograms. Data.2.A. Find, use and interpret measures of center and spread, including ranges. Meas.2.B. # Use tools to measure angles to the nearest degree and classify the angle as acute, obtuse, right, straight, or reflex. Unit 3: Data and Data Displays to Evaluate Statistical Measurements of Central Tendencies. Unit 3.1: Students will find the mean, median, mode and range of a set of data. Unit 3.2: Students will be able to display data in bar and line graphs. Unit 3.3: Students will be able to display data in a stem and leaf plot. Unit 3.5: Students will be able to display data in a histogram Unit 9: Percents Unit 9.5 Students will make and interpret circle graphs.

8 December Alg.4.A. Compare situations with constant or varying rates of change. Unit 8: Ratios, Unit Rates, Proportions, Scale Drawings and Slope. Unit 8.1: Students will write and compare ratios. Unit 8.2: Students will use rates to compare two quantities with different units. Unit 8.3: Students will fine the slope of a line.

9 January Meas.2.C. Solve problems involving circumference and/or area of a circle and surface area/volume of a rectangular or triangular prism or cylinder. Unit 11: Study of Square Roots, Pythagorean Theorem, Area Formulas for Parallelograms, Triangles, Trapezoids and Circles. Unit 11.4: Students will find the area of parallelograms. Unit 11.5: Students will find the areas of triangles and trapezoids. Unit 11.6: Students will find the circumference of a circle. Unit 11.7: Students will find the area of circles. Meas.1.A. # Identity and justify the unit of measure for volume (customary and metric) Meas.1.B. Identify the equivalent area and volume measures within a system of measurement. Geo.4A. # Use spatial visualizations to identify 2 dimensional views of isometric drawings. Unit 12: Study of three-dimensional figures and their surface area and volumes. Unit 12.1: Students will classify solids and identify their parts. Unit 12.2: Students will sketch solid figures. Unit 12.3: Students will find the surface areas of regular prisms.

10 Unit 12.4: Students will find the surface areas of cylinders. Unit 12.5: Students will find the volumes of rectangular prisms. Unit 12.6: Students will find the volume of cylinders. February Num.3.E. Solve problems involving proportions, such as scaling and finding equivalent ratios. Unit 8: Ratios, Unit Rates, Proportions, Scale Drawings and Slope. Unit 8.4: Students will write and solve proportions. Unit 8.5: Students will use cross multiplication to solve proportions. Unit 8.6: Students will use proportions with models to find scale,

11 February Geo.3.B. Describe the relationship between the scale factor and the perimeter of the image using a dilation (contractions-magnifications; stretching/shrinking) Unit 10: Explore angles, triangles, polygons, congruent and similar figures, as well as transformations of geometric shapes. Unit 10.8: Students will make transformations of geometric shapes in the coordinate plane. March Data.3.A. Use observations about differences between samples to make conjectures about the populations from which the samples were taken. Data 4.A. Use models to compute the probability of an event and make conjectures (based on theoretical probability) about the results of an experiment. Unit 13: Examine and explore methods of counting outcomes and apply probability concepts to various types of events. Unit 13.1: Students will find the probability of simple events. Unit 13.2: Students will use tree diagrams to find all possible outcomes of an event. Unit 13.3: Students will use the counting principle in order to count outcomes.

12 April Missouri Countdown to MAP: Review of MAP skills. Missouri Countdown to MAP pg. MO31- MO63. Students will practice and review 144 MAP written questions using all academic skills answering both multiple choice and constructed response questions. Daily quiz using pg. MO31-MO63. Num.2.D. # Approximate the value of square roots to the nearest whole number. Unit 11: Study of Square Roots, Pythagorean Theorem, Area Formulas for Parallelograms, Triangles, Trapezoids and Circles. Unit 11.1: Students will evaluate expressions involving square roots. May Meas.1.C. # Solve problems involving addition and subtraction of time (hours, minutes and seconds) Unit 11.2: Students will approximate square root values. Unit 2: Decimal Operations, Comparing, and Rounding, with Scientific Notation and Metric measurements.

13 May Meas.2.E. Convert from one unit to another within a system of measurement (Capacity) and convert square or cubic units within the same system of measurement. Unit 2.6: Students will measure in metric units. Unit 2.7: Students will convert within metric units. Geo.1.A. # Identity 2 dimensional cross section of a 3 dimensional shape.

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