• California Common Core Content Standards

Overview:

Sixth grade students use their knowledge of multiplication and division to solve ratio and rate problems.  They finalize their understanding of division of fractions and begin the study of negative integers.  They understand the use of variables in mathematical expressions, write expressions and equations that correspond to situations, and use expressions and equations to solve problems.  Students begin the study of probability and statistics and use their geometrical foundations to solve problems involving area, surface area, and volume.

Ratios and Proportional Relationships

·         Understand ratio concepts and use ratio reasoning to solve problems

·         Understand unit rate

·         Find a percent of a quantity

The Number System

·         Divide fractions by fractions

·         Fluently compute with multi-digit numbers and multi-digit decimals

·         Find common factors and multiples of numbers

·         Find the greatest common factor and least common multiple of two whole numbers

·         Use understanding of positive numbers to understand rational numbers

·         Understand positive and negative integers and be able to locate on a four-quadrant coordinate plane

·         Order rational numbers

·         Understand absolute value

Expressions and Equations

·         Use understanding of arithmetic to solve one variable equations and inequalities

·         Write expressions and equations to describe real world situations using variables

·         Write and solve equations with whole number exponents

·         Write an inequality to describe a real world or mathematical problem

·         Represent and explain relationships between dependent and independent variables

Geometry

·         Solve real world problems involving area, surface area, and volume

Statistics and Probability

·         Ask a statistical question (How old are the students in my school?), collect and organize the data on a line plot, graph, histogram, dot plot, box plot, etc.

·         Describe and summarize data by noticing the center, spread, and overall shape

·         Display numerical data on a number line including dot plots, histograms, and box plots

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