Seventh Overview

published by Lindsay Baker

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Seventh Grade
What my student should learn in
CA Common Core Math Standards
Four Key Focus Areas
Work with Rational Numbers in Expressions and Equations
Knowing and Applying Proportional Relationships
Develop Geometric Reasoning
Draw Inferences about Populations based on Samples
Four Key Focus Areas
-5 + 3x = 4
3 (x + 8)
17.5 + x - 12 = 100
12 (x + 4) = 60
1/2 + 0.25x = 43.75
15 (3x + 2)
Concepts to Master
Compute Unit Rates
Calculate the unit rates of complex fractions
Use complex fractions to find the unit rate and apply this skill to word problems.
Represent Proportional Relationships
Decide whether sets of numbers are proportional
Identify the constant of proportionality (unit rate) for proportional relationships
Represent proportional relationships using equations
Solve Ratio and Percent Problems
Apply percent knowledge to solve simple interest problems
Solve word problems involving tax
Solve word problems involving percent increase and decrease
Concepts to Master
Add and Subtract Rational Numbers
Fluently add and subtract positive and negative fractions, decimals, and whole numbers
Show that a number and its opposite have a sum of 0
Understand subtraction of rational numbers as an additive inverse operation. 3 - 7 is the same as 3 + (-7)
Multiply and Divide Rational Fractions
A negative multiplied by a negative is a positive and a negative multiple by a positive is a negative
A negative divided by a negative is a positive and a negative divided by a positive is a negative.
Convert Rational Numbers
Change a rational number to a decimal using long division
Know that the decimal form of a rational number eventually ends or repeats
Generate Equivalent Expressions
Use the order of operations to simplify expressions involving rational numbers and parenthesis
Understand that rewriting an expression can help to understand the expression more
Solve Multi-Step Equations
Solve one and two step equations involving positive and negative rational numbers
Check the reasonableness of answers before finalizing
Solve word problems involving multi-step equations
Use Variables to Represent Real World Scenarios
Solve equations in the form of 3x + (-8) = 4 and 3(x+8) = 4 fluently
Solve multi-step inequalities using the correct rules
Translate word problems into equations or inequalities to solve
Relationships of Geometrical Figures
Know how the side lengths of triangles determine the type of triangle that is constructed.
Know and identify cross sections
Solve word problems involving the scale drawing of figures
Area of Shapes
Know the formula for area and circumference of a circle
Find the area of compound shapes
Find the volume and surface area of basic 2 and 3 dimensional shapes
Working with Angles
Know and identify supplementary, complementary, adjacent and vertical angles
Use the characteristics of the types of angles to solve for an unknown angle in a diagram or word problem
Using Random Sampling
Know the difference between a sample and a population
Investigate how/why a random sample is a better representation of a population
Use real data to draw inferences about a population
Draw Inferences
Notice similarities and differences between two different data sets comparing the same population
Use mean, median, mode, and range to draw inferences about a population
Investigate Chance and Probability
Understand the probability is the chance of an event happening represented with a number 0-1
Use a probability model to find the possibilities of an event
Use same icon style to keep consistency.
Created by Lindsay Baker using Piktochart for Julian Charter School.