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 real-world 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 real-world 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 multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form. (7.EE.B.3)
• Construct simple equations and inequalities to solve real-world 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 multi-step problem to write and solve simple equations for an unknown angle in a figure. (7.G.B.5)
• Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional 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 long-run 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 multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form. (7.EE.B.3)
• Construct simple equations and inequalities to solve real-world 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 multi-step problem to write and solve simple equations for an unknown angle in a figure. (7.G.B.5)
• Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional 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 long-run 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 real-world 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 real-world and mathematical problems. (7.NS.A.2)