6th Grade Mathematics Missouri Learning Standards*
According to the Missouri Learning Standards, 6th grade Mathematics instructional time should focus on five critical areas.
RATIOS AND PROPORTIONAL RELATIONSHIPS
Video: Introduction to Ratios (14:12 mins)
Video: Ratios: Introduction and Word Problems (8:33 mins)
Video: Introduction to Rates (5:29 mins)
Video: Solving Unit Rate Problems (2:30 mins)
I can understand a ratio as a comparison of two quantities and represent these comparisons.
I can understand the concept of a unit rate associated with a ratio, and describe the meaning of unit rate.
I can solve problems involving ratios and rates.
NUMBER SENSE AND OPERATIONS
Video: Understanding Fractions as Division (6:43 mins)
Video: Fractions Add, Subtract, Multiply, Divide, Mixed Numbers, Decimals, Percents – Review (42:13 mins)
Video: Level 4 Division (9:35 mins)
Video: Significant Figures (5:02 mins)
Video: More on Significant Figures (5:41 mins)
Video: Multiplying and Dividing With Significant Figures (9:30 mins)
Video: Adding and Subtracting With Significant Figures (8:58 mins)
Video: Greatest Common Factor Explained (6:19 mins)
Video: Mr. Yeargin’s Divisibility Rule Rap (1:48 mins)
Video: Least Common Multiple (5:23 mins)
Video: LCM and GCF Word Problems (8:33 mins)
Video: Negative numbers introduction (9:35 mins)
Video: Plotting Basic Fractions on the Number Line (3:52 mins)
Video: Comparing fractions with greater than and less than symbols (5:18 mins)
Video: Comparing and ordering fractions (7:48 mins)
Video: Comparing fractions with different denominators (7:07 mins)
Video: Ordering Fractions From Least to Greatest With Different Denominators & Decimals (10:19 mins)
Video: Ordering Rational Numbers (4:13 mins)
Video: Absolute Value as Distance Between Numbers (5:29 mins)
Video: Absolute Value and Number Lines (5:38 mins)
Video: Fractions To Decimals (10:47 mins)
Video: Decimals to Fractions In Simplest Form (22:40 mins)
Video: Converting Fractions to Decimals to Percents (12:10 mins)
I can compute and interpret quotients of positive fractions.
I can demonstrate fluency with division of multi-digit whole numbers.
I can demonstrate fluency with addition, subtraction, multiplication and division of decimals.
I can find common factors and multiples.
I can use positive and negative numbers to represent quantities,
I can locate a rational number as a point on the number line.
I can understand that the absolute value of a rational number is its distance from 0 on the number line.
I can extend prior knowledge to generate equivalent representations of rational numbers between fractions, decimals and percentages (limited to terminating decimals and/or benchmark fractions of 1/3 and 2/3).
EXPRESSIONS, EQUATIONS AND INEQUALITIES
Video: What Are Terms, Factors and Coefficients in Algebraic Expressions (7:20 mins)
Video: What are variables, expressions and equations? (6:54 mins)
Video: How to basic expressions with variables (2:36 mins)
Video: How to write basic expressions from word problems (3:08 mins)
Video: Evaluating an Algebraic Expression with Exponents (2:41 mins)
Video: Intuition for Solving One-Step Equations (4:38 mins)
Video: How to Solve One-Step Equations (2:08 mins)
Video: How to Solve One-Step Equations with Fractions and Decimals (4:31 mins)
Video: How to Write One-Step Equations for Word Problems: (4:20 mins)
Video: Number of solutions to Linear Equations (5:26 mins)
Video: How to Test Solutions to Inequalities (5:09 mins)
I can describe the difference between an expression and an equation.
I can create and evaluate expressions involving variables and whole number exponents.
I can identify and generate equivalent algebraic expressions using a mathematical properties.
I can use substitution to determine whether a given number in a specified set makes a one-variable equation or inequality true.
I can understand that if any solutions exist, the solution set for an equation or inequality consists of values that make the equation or inequality true.
I can write and solve equations using variables to represent quantities, and understanding the meaning of the variable in the context of the situation.
I can solve one-step linear equations in one variable involving non-negative rational numbers.
I can recognize that inequalities may have infinitely many solutions.
I can identify and describe relationships between two variables that change in relationship to one another.
GEOMETRY AND MEASUREMENT
Video: Area and Perimeter (12:19 mins)
Video: Finding Area by Breaking Up the Shape (5:14 mins)
Video: Decomposing Shapes to Find Area (Add) (3:35 mins)
Video: Decomposing Shapes to Find Area (Subtract) (3:11 mins)
Video: Volume: How to Measure It (7:50 mins)
Video: Coordinate plane: Quadrants (2:23 mins)
Video: Nets of Polyhedra (6:47 mins)
I can find the area of polygons by composing or decomposing the shapes into rectangles or triangles.
I can find the volume of right rectangular prisms.
I can solve problems by graphing points in all four quadrants of the Cartesian coordinate plane.
I can solve problems using nets.
DATA ANALYSIS, STATISTICS AND PROBABILITY
Video: Statistical Questions (9:33 mins)
Video: Thinking about shapes of distributions (5:06 mins)
Video: Examples analyzing clusters, gaps, peaks and outliers for distributions (6:31 mins)
Video: Judging outliers in a dataset (8:20 mins)
Video: Statistics intro: Mean, median, and mode (8:53 mins)
Video: Impact on median and mean when removing lowest value example (5:36 mins)
Video: Impact on median and mean when increasing highest value (4:15 mins)
Video: Ways to Represent Data (8:17 mins)
Video: How to create a histogram (7:21 mins)
Video: How to interpret a histogram (4:28 mins)
Video: Constructing a box and whisker plot (8:17 mins)
Video: Box-and-whisker Plot (13:13 mins)
Video: How to calculate interquartile range IQR (8:42 mins)
Video: Interpreting box plots (7:43 mins)
Video: Frequency Tables and Dot Plots (7:18 mins)
Video: Comparing dot plots, histograms, and box plots (5:25 mins)
I can recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
I can understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread and overall shape.
I can recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary from a single number.
I can display and interpret data.
I can summarize numerical data sets in relation to the context.
* Sources: dese.mo.gov (Grade Level Expectations (GLEs))