KMS 7th Grade Math Curriculum Map/Pacing Guide Inquiry Modules (Sequential) Proportional Relationships Sense-making CONCEPT Standards Sense-making STRATEGIES Standards Sense-making APPLICATION/ MODELING Standards Computing unit rates associated with ratios of fractions in context Representing and solving proportional relationships including scale drawings 7.RP.1 7.RP.2 7.RP.1, 7.G.1 7.RP.3, 7.G.1 1) Using proportional relationships to solve multistep ratio and percent problems 7.RP.3 7.RP.1 7.RP.3 1) Understanding addition and subtraction with positive and negative rational numbers and solving problems in contextual situations Understanding multiplication and division with positive and negative rational numbers and solving problems in contextual situations Converting rational numbers to decimal form and solving problems in contextual situations 7.NS.1 7.NS.2 7.NS.3 Decide whether two quantities are in a proportional relationship by testing ratios in a table or graphing on a coordinate plane Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions 7.RP.2 a, b 7.EE.3 Represent proportional relationships by equations Explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation – special attention to (0,0) and (1,r) when r is a unit rate Use proportional relationships to solve multistep ratio and percent problems 7.RP.2 c, d 7.RP.2a,b 7.EE.3 Critical Focus Areas Proportional Relationships with Rates Student Focal Points 1) 2) 10 days Proportional Reasoning with Percents Proportional Relationships with Percents 2013-2014 10 days Operations with Rational Numbers Proportional Relationships Rational Numbers 2) Expressions & Equations Proportional Relationships 20 Days 3) Testing Proportional Relationships and Unit Rate 1) 2) 10 Days Representing other Algebraic Relationships Using equations, graphs of proportional relationships to solve multistep problems 10 Days 1) 2) 3) 7.EE.3 KMS 7th Grade Math Curriculum Map/Pacing Guide Solving Equations Applying properties of operations as strategies to rewrite expressions and solve equations 10 Days Solving Inequalities Solve inequality Word problems 1) Apply properties as strategies to add, subtract, factor and expand linear expressions with rational coefficients Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related Solve word problems leading to the equations of the form px + q =r where p, q, and r are specific rational numbers 7.EE.1 7.EE.2 7.EE.4a Solve word problems leading to equations of the form px + q >r or px+q<r, where p, q, and r are specific rational numbers Graph the solution set of the inequality and interpret it in the context of the problem 7.EE.1 7.EE.2 7.EE.4b 7.EE.4a 1) Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale 7.G.1 7.EE.1 7.EE.2 7.EE.4b 1) Know the formulas for the area and circumference of a circle and use them to solve problems. Give an informal derivation of the relationship between the circumference and area of a circle Solve real-world and mathematical problems involving area, volume and surface area of two- and three- dimensional objects composed of triangle, quadrilaterals, polygons, cubes, and right prisms. 7.G.4, 7.G.6 7.G.1 Describe 2-D figures that result from slicing 3-D figures, as in plane sections of right rectangular prisms and right rectangular pyramids. 7.G.3 2) 3) 1) 2) 10 Days Proportional Reasoning with Scale Drawings Scale Drawings & Geometry Length and area in 2-D figures Using formulas to solve realworld problems 10 Days 2) 10 Days 3) Plane sections of 3D figures Describe 2-D figures that result from slicing 3-D figures 10 Days 2013-2014 1) Just focus on perimeter and area – intro to circumference and area of circles KMS 7th Grade Math Curriculum Map/Pacing Guide Volume and surface area of 3-D Figures Find volume and surface area with given formulas 1) Solve real-world and mathematical problems involving area, volume and surface area of two- and three- dimensional objects composed of triangle, quadrilaterals, polygons, cubes, and right prisms. 7.G.6 1) Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangle from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle Understanding the ranges of probability and likelihood as well as approximating probability based on data Developing and evaluating probability models Understanding and applying various methods to find the probabilities of compound events 7.G.5 7.G.2 10 Days Geometric Constructions Use facts about angles to solve multi step problems 5 Days 2) Probability Statistical Inferences Simple Events 5 Days Compound Events 1) 2) 3) 7.SP.5 2013-2014 7.SP.8 7.SP.6, 7.SP.7 10 Days Statistics Statistical Inferences and comparing Populations 15 days 1) 2) Understanding random sampling and using it to draw inferences about a population Drawing informal comparative inferences about two populations using measures of center and variability 7.SP.1 7.SP.2, 7.SP.3, 7.SP.4