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Color Mixtures

Let’s see what color-mixing has to do with ratios.

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Grade 6 Mathematics, Unit 2.4 - Open Up Resources

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Let’s see what color-mixing has to do with ratios.

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All the Unit Progression Videos for Grades K-8

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Geoboard is a tool for mathematical exploration. Stretch bands around the pegs to form line segments and polygons, and make discoveries about perimeter, area, angles, congruence, fractions, and more.

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Curriculum Department's Google Classroom Codes

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Curriculum Department's Google Classroom Codes

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6th grade- Math/Science Integration of Integers

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6th grade- Math/Science Integration of Integers

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7th Around the Square Multiplying with Integers

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7th Around the Square Multiplying with Integers

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Complete the problem and drop your shared link of your work in the comments.

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Pattern Shapes by The Math Learning Center

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Students use Pattern Shapes to explore geometry and fractions, create their own designs, or fill in outlines. As they work with shapes, students think about angles, investigate symmetry, and compose and decompose larger shapes.

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Pattern Shapes by The Math Learning Center

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Students use Pattern Shapes to explore geometry and fractions, create their own designs, or fill in outlines. As they work with shapes, students think about angles, investigate symmetry, and compose and decompose larger shapes.

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Step 1- Learning the geoboard. If you like more training here's more: https://app-tutorials.mathlearningcenter.org/geoboard/index.html#/lessons/fnrQMGV6uK4LyoiXSQ8JOXv80J-Yk4aK

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Geoboard is a tool for mathematical exploration. Stretch bands around the pegs to form line segments and polygons, and make discoveries about perimeter, area, angles, congruence, fractions, and more.

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Fractions lets students use a bar or circle to represent fractions.

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MLC 1 activity

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Geoboard is a tool for mathematical exploration. Stretch bands around the pegs to form line segments and polygons, and make discoveries about perimeter, area, angles, congruence, fractions, and more.

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Pattern Shapes by The Math Learning Center

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Students use Pattern Shapes to explore geometry and fractions, create their own designs, or fill in outlines. As they work with shapes, students think about angles, investigate symmetry, and compose and decompose larger shapes.

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Pattern Shapes by The Math Learning Center

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Students use Pattern Shapes to explore geometry and fractions, create their own designs, or fill in outlines. As they work with shapes, students think about angles, investigate symmetry, and compose and decompose larger shapes.

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Geoboard is a tool for mathematical exploration. Stretch bands around the pegs to form line segments and polygons, and make discoveries about perimeter, area, angles, congruence, fractions, and more.

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TI Calculator Activity - Visualizing Fractions (Topic 1)

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TI Calculator Activity - Visualizing Fractions (Topic 1)

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Visualizing Fractions: Middle Grades Math:

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In this activity, students will explore multiplication and division of fractions using several representations to develop fluency. Students will also solve problems involving similarity using proportions.

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There are 17 different solutions to this question. A few of these are: 6 is 50% of 12 and 75% of 8
15 is 50% of 30 and 75% of 20
21 is 50% of 42 and 75% of 28
42 is 50% of 84 and 75% of 56
There are 4 different solutions to the challenge question:
18 is 50% of 36 and 75% of 24
27 is 50% of 54 and 75% of 36
36 is 50% of 72 and 75% of 48
39 is 50% of 78 and 75% of 52

Extension/Challenge: Try to create this number sentence using each digit no more than once.

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There are 17 different solutions to this question.

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Finding Equivalent Ratios - Open Middle®

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Directions: Use the digits 1-9 to create 3 equivalent ratios. Each digit can only be used once. __:_

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Home> Grade 6> Ordering Fractions Greater Than One

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to make a true statement. Try to find solutions where the fractions are in their lowest terms.

Hint

Try creating the mixed number first.

Answer

There are multiple answers... 4/3 > 1+2/9 > 7/8> 5/6, 9/1>2 3/4>7/8>5/6, etc.

Source: Charlotte Hawthorne

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Ordering Fractions Greater Than One | Open Middle®

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Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to make a true statement. Try to find solutions where the fractions are in their lowest terms. Source: Charlotte Hawthorne

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Home> Grade 6> Ordering Rational Numbers

Directions: Using the digits 1 to 9 at most once each, fill in the boxes to make a true statement.

Hint

What importance does the relationship between the numerator and denominator have in determining the value of a fraction? What are some strategies to compare fractions and decimals?

Answer

There are various answers. A possible answer: -9/8 < -0.76 < -2/5 < -0.13 or -9/2 < -0.83 < -4/6 < -0.15

Source: Robert Millett

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Ordering Rational Numbers | Open Middle®

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Home> Grade 6> Ordering Rational Numbers Directions: Using the digits 1 to 9 at most once each, fill in the boxes to make a true statement. What importance does the relationship between the numerator and denominator have in determining the value of a fraction? What are some strategies to compare fractions and decimals?

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Home> Grade 6> Geometry> Area of a House

Directions: Using the digits 0 - 9, at most one time each, fill in the blanks to make a true statement. (Note: Image is not to scale)

Hint

Which shapes two shapes can this house be decomposed into?
Which formulas can be helpful in determining areas of these shapes?

Answer

Answer 1: The base of the rectangle is 8, and the height is 7. The area is 56. The height of the triangle is 3. The area is 12.
Answer 2: The base of the rectange is 8, and the height is 9. The area is 72. The height of the triangle is 4. The area is 16.
Answer 3: The base of the rectangle is 8, and the height is 7. The area is 56. The height of the triangle of 1. The area is 04.

Source: Owen Kaplinsky

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Home> Grade 6> Geometry> Area of a House Directions: Using the digits 0 - 9, at most one time each, fill in the blanks to make a true statement. (Note: Image is not to scale) Which shapes two shapes can this house be decomposed into?

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Home> Grade 7> Geometry> Perimeter & Circumference

Directions: Using the digits 1-6, at most one time each, fill in the boxes to create the largest and smallest combined perimeter/circumference for the rectangle and circle.

Hint

Which box number change has the greatest effect on the combined perimeter/circumference? Why?
What part of your calculations will be the same every time?

How many permutations are there of the numbers 1-6 in four positions?
Which permutations matter for the largest sum? Why?
Which permutations matter for the smallest sum? Why?

Answer

greatest: (53 · 6) + (2π · 4) = 343.13... units

least: (24 · 1) + (2π · 3) = 42.85... units

Source: Christin Smith

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Perimeter & Circumference | Open Middle®

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Directions: Using the digits 1-6, at most one time each, fill in the boxes to create the largest and smallest combined perimeter/circumference for the rectangle and circle. Source: Christin Smith

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Geoboard is a tool for mathematical exploration. Stretch bands around the pegs to form line segments and polygons, and make discoveries about perimeter, area, angles, congruence, fractions, and more.

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i-Ready Central Resources | View Resource

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On i-Ready Central you’ll find everything you need to be successful with i-Ready, from videos to tips and planning tools.

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.
Watch the video to learn how sharing works.

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Sharing in an app allows educators to pose problems and investigations for students by using an 8-character code or link. Students can share their thinking with their teachers and classmates. Share codes remain available for continued use for 18 months from the date they are last accessed.

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Demonstrate key math concepts in your classroom using our new virtual manipulatives!

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Home> Grade 7> Geometry> Similar Shapes

Directions: Using the digits 0-9, at most one time each, fill in the boxes so that one rectangle is a scaled drawing of the other.

Hint

Enlargements occur when the scale factor is greater than 1.

How many times bigger is the second rectangle compared to the first rectangle?

Answer

There are many answers. Here are two of them:

First rectangle is 2 x 8
Second rectangle is 14 x 56
Scale factor would be 7.

First rectangle is 3 x 8
Second rectangle is 15 x 40.
Scale factor would be 5.

Source: Gian Cavaliere

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Home> Grade 7> Geometry> Similar Shapes Directions: Using the digits 0-9, at most one time each, fill in the boxes so that one rectangle is a scaled drawing of the other. Enlargements occur when the scale factor is greater than 1. How many times bigger is the second rectangle compared to the first rectangle?

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Home> Grade 7> Geometry> Similar Triangles And Slope

Directions: The three triangles on the line are similar. Using the digits 0 to 9 at most one time each, place a digit in each box for the legs of the right triangles.

Hint

What is true about the sides of similar triangles?
What are some ratios that are equal?

Answer

Bottom Triangle (left to right) -> 3,4
Middle Triangle (left to right)-> 12,9
Top Triangle (left to right) -> 6,8
The ratios (slopes) are 4/3=12/9=8/6

Bottom Triangle (left to right) -> 2,4
Middle Triangle (left to right)-> 10,5
Top Triangle (left to right) -> 3/6
The ratios (slopes) are 4/2=10/5=6/3

Source: Jay Sydow

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Similar Triangles And Slope | Open Middle®

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Directions: The three triangles on the line are similar. Using the digits 0 to 9 at most one time each, place a digit in each box for the legs of the right triangles. Source: Jay Sydow

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Center's Support in  i-Ready Classroom Math

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MATH LEARNING CENTER DIGITAL MANIPULATIVES CHOICE BOARD (1).pdf

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Grade 6 Mathematics, Unit 2.4 - Open Up Resources

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Let’s see what color-mixing has to do with ratios.

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MATH LEARNING CENTER DIGITAL MANIPULATIVES CHOICE BOARD (1).pdf

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Get access to files anywhere through secure cloud storage and file backup for your photos, videos, files and more with Google Drive.

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Overview

In this activity, students will compare ratios with different denominators, and then with common denominators. They will also find unit rates.

Key Steps

Students will use , and = to compare ratios. The comparison symbols are found in the [Test] menu.

Students will enter each ratio as a fraction and insert one of the comparisons between.

Finally, students can use the = symbol to compare the original ratio to the ratio with a common denominator.

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Middle Grades Math: Calculating Unit Prices

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In this activity, students will compare ratios with different denominators, and then with common denominators. They will also find unit rates.

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1. If you wanted to eat enough Mini-Bears to match the Super-Bear, how many would it take? What if you ate Regular-Bears?

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Home> Grade 6> Equivalent Ratios 2

Directions: Using each of the digits 0-6 only once, make two equivalent ratios (also known as a proportion).

Hint

Can multiples help us find equivalent fractions?

Answer

Number of Unique Solutions: 6

1: 4/13 = 20/65
2: 4/20 = 13/65
3: 5/10 = 23/46
4: 5/10 = 32/64
5: 5/23 = 10/46
6: 5/32 = 10/64

Source: AnneMarie Untalan

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Home> Grade 6> Equivalent Ratios 2 Directions: Using each of the digits 0-6 only once, make two equivalent ratios (also known as a proportion). Can multiples help us find equivalent fractions?

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Home> Grade 7> Unit Fraction Proportion

Directions: Fill in the boxes using the digits 1 through 9, at most one time each, to make a true equality statement

Hint

What makes equivalent Ratios? How does that relate to fractions?

Answer

There are multiple correct answers, one example would be (1/2)/(1/4)= (1/3)/(1/6)

Source: Bryan Anderson

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Directions: Fill in the boxes using the digits 1 through 9, at most one time each, to make a true equality statement Source: Bryan Anderson

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