Math: IM® v.360 aligned (by Illustrative Mathematics)
Ages 11-14
● Media ready
6th grade math (IM® v.360 aligned)
This course contains Khan Academy practice problems crafted to support the IM® v.360 curriculum by Illustrative Mathematics® (IM), licensed under Creative Commons/Attribution/Non-commercial 4.0. Designed to make it easier for districts, teachers, and students to find and use practice problems that complement IM v.360 lessons, this course was not produced in official partnership with Illustrative Mathematics.
8 units
142 lessons
35 videos
4 on CDN
First 3 lessons are free
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Unit 2 Area and surface area
1
Tiling the plane
Free
2
Finding area by decomposition and rearranging
Free
3
Reasoning to find area
Free
4
Parallelograms
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5
Bases and heights of parallelograms
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6
Area of parallelograms
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8
From parallelograms to triangles
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9
Area of triangles
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10
Formula for area of a triangle
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11
Bases and heights of triangles
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12
Polygons
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13
What is surface area?
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15
Polyhedra
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16
Nets and surface area
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17
More nets, more surface area
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18
Distinguishing between surface area and volume (optional)
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19
Squares and cubes
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20
Surface area of a cube
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26
Data sets and distribution: Unit test
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Unit 3 Introducing ratios
1
Introducing ratios and ratio language
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2
Representing ratios with diagrams
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3
Recipes
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4
Color mixtures
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5
Defining equivalent ratios
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6
Introducing double number line diagrams
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7
Creating double number line diagrams
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8
How much for one?
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9
Constant speed
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11
Comparing situations by examining ratios
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12
Representing ratios with tables
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13
Navigating a table of equivalent ratios
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14
Tables and double number line diagrams
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15
Solving equivalent ratio problems
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17
Part-part-whole ratios
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18
Solving more ratio problems
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Unit 4 Unit rates and percentages
1
Anchoring units of measurement
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2
Measuring with different size units
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3
Converting units
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4
Comparing speeds and prices
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5
Interpreting rates
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6
Equivalent ratios have the same unit rates
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7
More rate comparisons
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8
Solving rate problems
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10
More about constant speed (optional)
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11
What are percentages?
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12
Representing percentages with double number line diagrams
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13
Representing percentages in different ways
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14
Benchmark percentages
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15
Solving percentage problems
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16
Finding this percent of that
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17
Finding the percentage (optional)
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18
Painting a room
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Unit 5 Dividing fractions
1
Size of divisor and size of quotient
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2
Meaning of division
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3
Interpreting division situations (optional)
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5
How many groups?
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6
Using diagrams to find the number of groups
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7
What fraction of a group?
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8
How much in each group? (part 1)
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9
How much in each group? (part 2)
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11
Dividing by unit and non-unit fractions
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12
Using an algorithm to divide fractions
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14
Fractional lengths
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15
Rectangles with fractional sides
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16
Fractional lengths in triangles and prisms
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18
Volume of prisms
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19
Solving problems involving fractions (optional)
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20
Fitting boxes into boxes
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Unit 6 Arithmetic in base ten
1
Using decimals in a shopping context
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2
Using diagrams to represent addition and subtraction (optional)
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3
Adding and subtracting decimals with few non-zero digits
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4
Adding and subtracting decimals with many non-zero digits
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6
Using fractions to multiply decimals
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7
Methods for multiplying decimals
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8
Calculating products of decimals
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9
Using base-ten diagrams to divide (optional)
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10
Using partial quotients
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11
Using long division
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12
Dividing numbers that result in a decimal
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13
Dividing a decimal by a decimal
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15
Solving problems involving decimals
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Unit 7 Expressions and equations
1
Tape diagrams and equations
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2
Truth and equations
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3
Staying in balance
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5
Practice solving equations and representing situations with equations
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6
Represent situations with equations
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8
Percentages and equations
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9
Write expressions with variables
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10
Equal and equivalent
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12
The distributive property, part 1
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13
The distributive property, part 2
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14
The distributive property, part 3 (optional)
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16
Meaning of exponents
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17
Expressions with exponents
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18
Evaluating expressions with exponents
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19
Equivalent exponential expressions
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21
Two related quantities, part 1
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22
Two related quantities, part 2
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24
More relationships
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25
Tables, equations, and graphs, oh my!
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26
Extra practice: Expressions
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27
Extra practice: Equations
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Unit 8 Rational numbers
1
Positive and negative numbers
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2
Points on the number line
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4
Comparing positive and negative numbers
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5
Ordering rational numbers
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7
Using negative numbers to make sense of contexts
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8
Absolute value of numbers
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9
Comparing numbers and distance from zero
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11
Writing and graphing inequalities
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12
Solutions to inequalities
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14
Interpreting inequalities
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15
Points on the coordinate plane
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16
Constructing the coordinate plane
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17
Interpreting points on a coordinate plane
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19
Distances on a coordinate plane
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20
Shapes on a coordinate plane
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22
Common factors
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23
Common multiples
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24
Using common multiples and common factors
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26
Drawing on the coordinate plane (optional)
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27
Extra practice: Inequalities
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Unit 9 Data sets and distribution
1
Got data?
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2
Statistical questions
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3
Representing data graphically
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4
Dot plots
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5
Using dot plots to answer statistical questions
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7
Interpreting histograms
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8
Using histograms to answer statistical questions
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9
Describing distributions on histograms
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11
Mean
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12
Finding and interpreting the mean as the balance point
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13
Variability and MAD
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14
Using mean and MAD to make comparisons
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16
Median
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17
Comparing mean and median
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19
Quartiles and interquartile range
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20
Box plots
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21
Using box plots
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23
Using data to solve problems (optional)
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24
Extra practice: Mean
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25
Extra practice: Box plots
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