Basic Math (Grade 6)

Arithmetic and Basic Math Mathematics

Author: Illustrative Mathematics
Publisher: OpenUp Resources
Source: LibreTexts
License: CC BY
Language: EN
Category: Basic Sciences

Read online Download PDF (open licence)

Contents· 204 sections

01: Area and Surface Area
01: Lessons Reasoning to Find Area
1.01: Tiling the Plane
1.02: Finding Area by Decomposing and Rearranging
1.03: Reasoning to Find Area
02: Parallelograms
2.01: Parallelograms
2.02: Bases and Heights of Parallelograms
2.03: Area of Parallelograms
03: Triangles
3.01: From Parallelograms to Triangles
3.02: Area of Triangles
3.03: Formula for the Area of a Triangle
3.04: Bases and Heights of Triangles
04: Polygons
4.01: Polygons
05: Surface Area
5.01: Polyhedra
5.02: Nets and Surface Area
5.03: More Nets More Surface Area
5.04: Distinguishing Between Surface Area and Volume
06: Squares and Cubes
6.01: Squares and Cubes
6.02: Surface Area of a Cube
07: Surface Area
7.01: What is Surface Area
08: Lets Put it to Work
8.01: Designing a Tent
02: Introducing Ratios
09: What are Ratios
9.01: Introducing Ratios and Ratio Language
9.02: Representing Ratios with Diagrams
10: Equivalent Ratios
10.01: Recipes
10.02: Color Mixtures
10.03: Defining Equivalent Ratios
11: Representing Equivalent Ratios
11.01: Introducing Double Number Line Diagrams
11.02: Creating Double Number Line Diagrams
11.03: Constant Speed
11.04: Comparing Situations by Examining Ratios
12: Solving Ratio and Rate Problems
12.01: Representing Ratios with Tables
12.02: Navigating a Table of Equivalent Ratios
12.03: Tables and Double Number Line Diagrams
12.04: Solving Equivalent Ratio Problems
13: Part-Part-Whole Ratios
13.01: Part-Part-Whole Ratios
13.02: Solving More Ratio Problems
14: Let's Put it to Work
14.01: A Fermi Problem
14.02: How Much for One
03: Unit Rates and Percentages
15: Unit of Measurement
15.01: The Burj Khalifa
16: Unit Conversion
16.01: Anchoring Units of Measurement
16.02: Measuring with Different-Sized Units
16.03: Converting Units
17: Rates
17.01: Comparing Speeds and Prices
17.02: Interpreting Rates
17.03: Equivalent Ratios Have the Same Unit Rates
17.04: More about Constant Speed
17.05: Solving Rate Problems
18: Percentages
18.01: Percentages and Double Number Lines
18.02: Percentages and Tape Diagrams
18.03: Benchmark Percentages
18.04: Solving Percentage Problems
18.05: Finding This Percent of That
18.06: Finding the Percentage
19: Let's Put it to Work
19.01: Painting a Room
20: New Page
20.01: What Are Percentages
04: Dividing Fractions
21: Making Sense of Division
21.01: Size of Divisor and Size of Quotient
21.02: Meanings of Division
21.03: Interpreting Division Situations
22: Meanings of Fraction Division
22.01: How Many Groups (Part 1)
22.02: How Many Groups (Part 2)
22.03: Using Diagrams to Find the Number of Groups
22.04: What Fraction of a Group
22.05: How Much in Each Group (Part 1)
22.06: How Much in Each Group (Part 2)
23: Algorithm for Fraction Division
23.01: Dividing by Unit and Non-Unit Fractions
23.02: Using an Algorithm to Divide Fractions
24: Fractions in Lengths Areas and Volumes
24.01: Fractional Lengths
24.02: Rectangles with Fractional Side Lengths
24.03: Fractional Lengths in Triangles and Prisms
24.04: Volume of Prisms
25: Let's Put It to Work
25.01: Solving Problems Involving Fractions
25.02: Fitting Boxes into Boxes
05: Arithmetic in Base Ten
26: Warming Up to Decimals
26.01: Using Decimals in a Shopping Context
27: Adding and Subtracting Decimals
27.01: Using Diagrams to Represent Addition and Subtraction
27.02: Adding and Subtracting Decimals with Few Non-Zero Digits
27.03: Adding and Subtracting Decimals with Many Non-Zero Digits
28: Multiplying Decimals
28.01: Decimal Points in Products
28.02: Methods for Multiplying Decimals
28.03: Using Diagrams to Represent Multiplication
28.04: Calculating Products of Decimals
29: Dividing Decimals
29.01: Using the Partial Quotients Method
29.02: Using Long Division
29.03: Dividing Numbers that Result in Decimals
29.04: Dividing Decimals by Whole Numbers
29.05: Dividing Decimals by Decimals
30: Let's Put It to Work
30.01: Using Operations on Decimals to Solve Problems
30.02: Making and Measuring Boxes
06: Expressions and Equations
31: Equations in One Variable
31.01: Tape Diagrams and Equations
31.02: Truth and Equations
31.03: Staying in Balance
31.04: Practice Solving Equations and Representing Situations with Equations
31.05: A New Way to Interpret a over b
32: Equal and Equivalent
32.01: Write Expressions Where Letters Stand for Numbers
32.02: Revisit Percentages
32.03: Equal and Equivalent
32.04: The Distributive Property Part 1
32.05: The Distributive Property Part 2
32.06: The Distributive Property Part 3
33: Expressions with Exponents
33.01: Meaning of Exponents
33.02: Expressions with Exponents
33.03: Evaluating Expressions with Exponents
33.04: Equivalent Exponential Expressions
34: Relationship Between Quantities
34.01: Two Related Quantities Part 1
34.02: Two Related Quantities Part 2
34.03: More Relationships
35: Let's Put it to Work
35.01: Tables Equations and Graphs Oh My
07: Rational Numbers
36: Negative Numbers and Absolute Value
36.01: Positive and Negative Numbers
36.02: Points on the Number Line
36.03: Comparing Positive and Negative Numbers
36.04: Ordering Rational Numbers
36.05: Using Negative Numbers to Make Sense of Contexts
36.06: Absolute Value of Numbers
36.07: Comparing Numbers and Distance from Zero
37: Inequalities
37.01: Writing and Graphing Inequalities
37.02: Solutions of Inequalities
37.03: Interpreting Inequalities
38: The Coordinate Plane
38.01: Points on the Coordinate Plane
38.02: Constructing the Coordinate Plane
38.03: Interpreting Points on a Coordinate Plane
38.04: Distances on a Coordinate Plane
38.05: Shapes on the Coordinate Plane
39: Common Factors and Common Multiples
39.01: Common Factors
39.02: Common Multiples
39.03: Using Common Multiples and Common Factors
40: Let's Put it to Work
40.01: Drawing on the Coordinate Plane
08: Data Sets and Distributions
41: Data Variability and Statistical Questions
41.01: Got Data
41.02: Statistical Questions
42: Dot Plots and Histograms
42.01: Representing Data Graphically
42.02: Dot Plots
42.03: Using Dot Plots to Answer Statistical Questions
42.04: Interpreting Histograms
42.05: Using Histograms to Answer Statistical Questions
42.06: Describing Distributions on Histograms
43: Measures of Center and Variability
43.01: Mean
43.02: Finding and Interpreting the Mean as the Balance Point
43.03: Variability and MAD
43.04: Using Mean and MAD to Make Comparisons
44: Median and IQR
44.01: Median
44.02: Comparing Mean and Median
44.03: Quartiles and Interquartile Range
44.04: Box Plots
44.4.01: Using Box Plots
45: Let's Put it to Work
45.01: Using Data to Solve Problems
09: Putting it All Together
46: Making Connections
46.01: Fermi Problems
46.02: If Our Class Were the World
46.03: Rectangle Madness
47: Voting
47.01: More than Two Choices
47.02: Picking Representatives
48: Let's Put it to Work
48.01: How Do We Choose