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))