ELTs BY UNIT
Unit 1: Scale Drawings
Geometry
 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.A.1)
Unit 2: Introducing Proportional Relationships
Ratios & Proportional Relationships
 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. (7.RP.A.1)
 Recognize and represent proportional relationships between quantities using tables, graphs, and equations. (7.RP.A.2)
Unit 3: Measuring Circles
Geometry
 Know the formulas for the area and circumference of a circle and use them to solve problems. (7.G.B.4)
Unit 4: Proportional Relationships and Percentages
Ratios & Proportional Relationships
 Use proportional relationships to solve multistep ratio and percent problems, such as simple interest, tax, markups and markdowns, gratuities and commissions, fees, and percent increase and decrease. (7.RP.A.3)
Unit 5: Rational Number Arithmetic
The Number System
 Apply properties of operations as strategies to add and subtract rational numbers to solve realworld and mathematical problems. (7.NS.A.1)
 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers to solve realworld and mathematical problems. (7.NS.A.2)
Unit 6: Expressions, Equations and Inequalities
Expressions & Equations
 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (7.EE.A.1)
 Use tools strategically to solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form. (7.EE.B.3)
 Construct simple equations and inequalities to solve realworld or mathematical problems by reasoning about the quantities. (7.EE.B.4)
Unit 7: Angles, Triangles and Prisms
Geometry
 Draw (freehand, with ruler and protractor, and with technology) triangles from three measures of angles or sides (7.G.A.2)
 Use facts about supplementary, complementary, vertical, and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure. (7.G.B.5)
 Solve realworld and mathematical problems involving area, volume and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (7.G.B.6)
Unit 8: Probability and Sampling
Statistics & Probability
 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. (7.SP.A.2)
 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. (7.SP.B.4)
 Approximate the experimental probability of a chance event by collecting data on the chance process that produces it and observing its longrun relative frequency, and predict the approximate relative frequency given the probability. (7.SP.C.6)
 Develop a probability model and use it to find theoretical probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. (7.SP.C.7)
 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. (7.SP.C.8)
ELTs BY STANDARD Expressions & Equations:
 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (7.EE.A.1)
 Use tools strategically to solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form. (7.EE.B.3)
 Construct simple equations and inequalities to solve realworld or mathematical problems by reasoning about the quantities. (7.EE.B.4)
Geometry:  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.A.1)
 Draw (freehand, with ruler and protractor, and with technology) triangles from three measures of angles or sides (7.G.A.2)
 Know the formulas for the area and circumference of a circle and use them to solve problems. (7.G.B.4)
 Use facts about supplementary, complementary, vertical, and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure. (7.G.B.5)
 Solve realworld and mathematical problems involving area, volume and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (7.G.B.6)
Ratios & Proportional Relationships:
 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. (7.RP.A.1)
 Recognize and represent proportional relationships between quantities using tables, graphs, and equations. (7.RP.A.2)
 Use proportional relationships to solve multistep ratio and percent problems, such as simple interest, tax, markups and markdowns, gratuities and commissions, fees, and percent increase and decrease. (7.RP.A.3)
Statistics & Probability:
 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. (7.SP.A.2)
 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. (7.SP.B.4)
 Approximate the experimental probability of a chance event by collecting data on the chance process that produces it and observing its longrun relative frequency, and predict the approximate relative frequency given the probability. (7.SP.C.6)
 Develop a probability model and use it to find theoretical probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. (7.SP.C.7)
 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. (7.SP.C.8)
The Number System:
 Apply properties of operations as strategies to add and subtract rational numbers to solve realworld and mathematical problems. (7.NS.A.1)
 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers to solve realworld and mathematical problems. (7.NS.A.2)
