GRADE LEVEL: SEVENTH SUBJECT: MATH DATE: CONTENT STANDARD INDICATORS SKILLS ASSESSMENT VOCABULARY ISTEP

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1 GRADE LEVEL: SEVENTH SUBJECT: MATH DATE: GRADING PERIOD: QUARTER 2 MASTER COPY CONTENT STANDARD INDICATORS SKILLS ASSESSMENT VOCABULARY ISTEP COMPUTATION Unit Rates Ratios Length Area Perimeter 7.C.5: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. Proportions 7.C.6: Use proportional relationships to solve ratio and percent problems with multiple operations, such as the following: simple interest, tax, markups, markdowns, gratuities, commissions, fees, conversions within and across measurement systems, percent increase and decrease, and percent error. Compute unit rates involving ratios of: Length Perimeter Area Identify and write proportions. Solve proportions. Write equivalent ratios. Vocab Michelle walks ⅝ mile every ⅞ hour. What is the unit rate in which Michele walks in miles per hour? Vocab Sandra drove miles in 2 hours at a constant speed. Use a proportion to find out how long it would take her to drive miles at the same speed. Ratio Unit Rate Proportion Cross Product + PS.4: Model with mathematics Solve problems arising in everyday life. 1

2 Real World Problems 7.C.8: Solve real world problems with rational numbers by using one or two operations. Solve real world problems using more than one operation. + Vertical Change Horizontal Change Rates of Change Coordinate Plane PS.4: Model with mathematics. 7.AF.4: Define slope as vertical change for each unit of horizontal change and recognize that a constant rate of change or constant slope describes a linear function. Identify and describe situations with constant or varying rates of change. 7.AF.5: Graph a line given its slope and a point on the line. Find the slope of a line given its graph. PS.6: Attend to precision. Solve problems arising in everyday life. Identify slopes and rates of change as linear functions. Identify the difference between constant and varying rates of change. Use slope and a point to graph a line on the coordinate plane. Find the slope of a line from the line on a coordinate plane. Use clear definitions. Vocab Vocab Graph the line that contains the point ( 3,5) and has a slope of 3/4 Rate of Change Constant Varying Coordinate Plane Ordered Pair Origin Quadrant 2

3 Proportional Equivalent Ratios Coordinate Plane Unit Rate Constant of Proportionality Direct Variation Proportional Direct Variation 7.AF.6: Decide whether two quantities are in a proportional relationship (e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin). 7.AF.7: Identify the unit rate or constant of proportionality in tables, graphs, equations, and verbal descriptions of proportional relationships. 7.AF.8: Explain what the coordinates of a point on the graph of a proportional relationship mean in terms of the situation, with special attention to the points (0, 0) and (1,r), where r is the unit rate. Identify proportional relationships on a coordinate plane. Interpret graphs. Sketch graphs. Identify and use direct variation rates in tables, graphs, and equations. Identify and use direct variation rates in relation to the origin (0,0) and another point on the graph. Vocab On his way to the library Jeff runs two blocks and then walks three more blocks. Sketch a graph to show the distance Jeff traveled over time. Vocab Ray paid $26.25 for 7.5 gallons of gasoline. What is the unit rate of gasoline in dollars per gallon? Proportional Equivalent Ratios Constant of Proportionality Direct Variation 3

4 Real World Situations Equations Graphs Proportional s Linear Function 7.AF.9: Identify real world and other mathematical situations that involve proportional relationships. Write equations and draw graphs to represent proportional relationships and recognize that these situations are described by a linear function in the form y = mx, where the unit rate, m, is the slope of the line. Write, draw, and solve proportional relationships that represent a given realworld situation. Write equations to describe a situation. PS.4: Model with mathematics. Solve problems using representations. GEOMETRY AND MEASUREMENT Similar Figures 7.GM.2: Identify and describe similarity relationships of polygons including the angle angle criterion for similar triangles, and solve problems involving similarity. Use similar figures. Find measures of corresponding angles. Determine if corresponding sides are equivalent ratios. Solve real world problems. Vocab Similar Figures Corresponding Angles and Sides 4

5 GEOMETRY AND MEASUREMENT Scale Drawings Scale Models 7.GM.3: Solve real world and other mathematical problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing. Create a scale drawing by using proportional reasoning. Use scale drawings and scale models. Compute lengths and areas from a scale drawing. Solve real world problems. Vocab Scale Drawings Scale Models Scale Scale Factor 5

Alex Benn. Math 7 - Outline First Semester ( ) (Numbers in parentheses are the relevant California Math Textbook Sections) Quarter 1 44 days

Alex Benn. Math 7 - Outline First Semester ( ) (Numbers in parentheses are the relevant California Math Textbook Sections) Quarter 1 44 days Math 7 - Outline First Semester (2016-2017) Alex Benn (Numbers in parentheses are the relevant California Math Textbook Sections) Quarter 1 44 days 0.1 Classroom Rules Multiplication Table Unit 1 Measuring