7th grade Math Guide

Pre-Assessment

Previous Standards with Example Problems

Number on Pre Assessment

Section

Section

Unfinished Learning Standard

1

3.1

3.1

6.RP.3c, 4.MD.1, 4.MD.3

2

3.3

3.3

6.SP.5c

3

3.1

3.6

6.G.1, 6.EE.7

4

3.6

5

3.6

6

3.6

LEARNING INTENTIONS

● Draw precise geometric figures based on given conditions. ● Discover the conditions necessary for a set of angles (sum of 180°) or sides to make a triangle (Triangle Inequality Theorem) by exploring different combinations of sides and angles. ● Explore conditions that determine unique triangles, multiple triangles, or no triangles (Foundational for future coursework involving Triangle Congruence Theorem). ● Use the formulas for area and circumference of a circle to solve problems. ● Know the relationship between diameter, circumference, and pi. ● Show and explain how the circumference and area of a circle are related. ● Decompose two-dimensional composite shapes into triangles, quadrilaterals, and polygons to find the area. ● Decompose three-dimensional composite shapes into cubes, and right prisms to find volume. ● Decompose three-dimensional composite shapes whose faces are triangles, quadrilaterals, and polygons, to find the surface area. ● Find volumes of cubes, right prisms, and composite polyhedra including those found in real-world contexts. ● Use proportional reasoning to solve multistep ratio and multistep percent problems. ● Write proportions from various contexts. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. ● Solve multi-step real-life and mathematical problems involving calculations with rational numbers in any form. ● Utilize various forms of rational numbers to solve and make sense of problems. ● Choose between forms of a rational number to simplify calculations or communicate solutions meaningfully.