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. ●​ Assess the reasonableness of answers using mental computation and estimation.