problem solving find unknown lengths lesson 7 10

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Problem Solving - Organize Data - Lesson 2.1

Use Picture Graphs - Lesson 2.2

Make Picture Graphs - Lesson 2.3

Use Bar Graphs - Lesson 2.4

Make a Bar Graph - Lesson 2.5

Solve Problems Using Data - Lesson 2.6

Use and Make Line Plots - Lesson 2.7

Number Patterns - Lesson 1.1

Round to Nearest Ten or Hundred - Lesson 1.2

Estimate Sums - Lesson 1.3

Mental Math Strategies for Addition - Lesson 1.4

Use Properties to Add - Lesson 1.5

Use the Break Apart Strategy to Add - Lesson 1.6

Use Place Value to Add - Lesson 1.7

Estimate Differences - Lesson 1.8

Mental Math Strategies for Subtraction - Lesson 1.9

Use Place Value to Subtract - Lesson 1.10

Combine Place Values to Subtract - Lesson 1.11

Describe Plane Shapes - Lesson 12.1

Describe Angles in Plane Shapes - Lesson 12.2

Identify Polygons - Lesson 12.3 ​

Describe Sides of Polygons - Lesson 12.4

​ Classify Quadrilaterals - Lesson 12.5

​Draw Quadrilaterals - Lesson 12.6

Describe Triangles - Lesson 12.7

Chapter 12 Performance Task Review For Test

Problem Solving - Compare Fractions - Lesson 9.1

Compare Fractions with the Same Denominator - Lesson 9.2

Compare Fractions with the Same Numerator - Lesson 9.3

Compare Fractions - Lesson 9.4

Compare and Order Fractions - Lesson 9.5

Model Equivalent Fractions - Lesson 9.6

Equivalent Fractions - Lesson 9.7

Divide by 2 - Lesson 7.1

Divide by 10 - Lesson 7.2

Divide by 5 - Lesson 7.3

Divide by 3 - Lesson 7.4

Divide by 4 - Lesson 7.5

Divide by 5 - Lesson 7.6

Mid-Chapter 7 Checkpoint on Division Facts and Strategies

Divide by 7 - Lesson 7.7

Divide by 8 - Lesson 7.8

Divide by 9 - Lesson 7.9

Problem Solving - Two-Step Problems - Lesson 7.10

Order of Operations - Lesson 7.11

Problem Solving - Model Division - Lesson 6.1

Size of Equal Groups - Lesson 6.2

Number of Equal Groups - Lesson 6.3

Model (Division) with Bar Model - Lesson 6.4

Relate Subtraction and Division - Lesson 6.5

Mid-Chapter 6 Checkpoint

Model (division) with Arrays - Lesson 6.6

Relate Multiplication and Division - Lesson 6.7

Write Related Facts - Lesson 6.8

Division Rules for 1 and 0 - Lesson 6.9

Chapter 6 Review for Test - Understanding Division

Multiply with 2 and 4 - Lesson 4.1

Multiply with 5 and 10 - Lesson 4.2

Multiply with 3 and 6 - Lesson 4.3

Distributive Property - Lesson 4.4

Multiply with 7 - Lesson 4.5

Associative Property of Multiplication - Lesson 4.6

Patterns on the Multiplication Table - Lesson 4.7

Multiply with 8 - Lesson 4.8

Multiply with 9 - Lesson 4.9

Review For Test on Chapter 4

Describe Patterns - Lesson 5.1

Find Unknown Factors - Lesson 5.2

Problem Solving: Using the Distributive Property - Lesson 5.3

Multiplication Strategies with Multiples of 10 - Lesson 5.4

Multiply Multiples of 10 by 1-Digit Numbers - Lesson 5.5

Chapter 5 Review on Multiplication Facts

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Model Perimeter - Lesson 11.1

Find Perimeter - Lesson 11.2

Find Unknown Side Lengths - Lesson 11.3

Understanding Area - Lesson 11.4

Measure Area - Lesson 11.5

Use Area Models - Lesson 11.6

Problem Solving - Area of Rectangles - Lesson 11.7

Area of Combined Rectangles - Lesson 11.8

Same Perimeter - Different Area - Lesson 11.9

Same Area - Different Perimeter - Lesson 11.10

Chapter 11 Review for Test on Perimeter and Area

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Count Equal Groups - Lesson 3.1

Relate Addition and Multiplication - Lesson 3.2

Skip Count on a Number Line - Lesson 3.3

Problem Solving - Model Multiplication - Lesson 3.4

Model with Arrays - Lesson 3.5

Commutative Property of Multiplication - Lesson 3.6

Multiply with 1 and 0 - Lesson 3.7

Time to the Minute - Lesson 10.1

A.M. and P.M. - Lesson 10.2

Measure Time Intervals - Lesson 10.3

Use Time Intervals - Lesson 10.4

Problem Solving - Time Intervals - Lesson 10.5

Measure Length - Lesson 10.6

Estimate and Measure Liquid Volume - Lesson 10.7

Estimate and Measure Mass - Lesson 10.8

Equal Parts of a Whole - Lesson 8.1

Equal Shares - Lesson 8.2

Unit Fractions of a Whole - Lesson 8.3

Fractions of a Whole - Lesson 8.4

Fractions on a Number Line - Lesson 8.5

Relate Fractions and Whole Numbers - Lesson 8.6

Fractions of a Group - Lesson 8.7

Find Part of Group Using Unit Fractions - Lesson 8.8

Problem Solving: Find the Whole Using Unit Fractions - Lesson 8.9

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Problem solving length

Resource type.

Grade 2 Addition and Subtraction with Length Problem Solving Worksheets

Measuring Length to Problem Solve

2nd GRADE LESSON 8.8 UNIT 8 SOLVE PROBLEM INVOLVING LENGTH WORKSHEETS

4.8C Lesson 2: Measurement Problem - Solving with Customary Length

Lesson 4: Problem Solving with Perimeter: Missing Side Length

2nd grade Problem Solving with Length , Money, and Data CC Module 7

Math ~ 2nd Grade Adding and Subtracting to SOLVE Word Problems involving Lengths

Perimeter Missing Length Problem Solving

Problem Solving : Use Reasoning - Measuring Length - First Grade enVision Math

Drawing a Diagram to Solve Math Word Problems about Length

Go Math Interactive Mimio Lesson 7.10 Problem Solving Find Unknown Lengths

2nd Grade Math Centers: Problem Solving with Length , Money, and Data

Time, Length and Capacity Problem Solving

2nd Grade Math, Memory Match- Problem Solving with Length , Money, and Data

4th Grade Math, Tic Tac Toe: Solve Problems Involving Mixed Units of Length

Matholia Problem Solving and Enrichment Year 2 - Length

Matholia Problem Solving and Enrichment Year 1 - Length

Measurement Activities Project 2nd Grade, Nonstandard 1st Measuring Length Craft

1st Grade Non-Standard Measurement Activities for Measuring & Ordering by Length

STEM Challenge Newton’s Cradle – 3rd Law of Motion Problem - Solving Activity

Measurement Conversion| Converting Metric Unit ( Length , Mass, Volume) Activities

Customary Measurement Conversions 5th, 6th Grade Math Task Cards Problem Solving

No Prep Measurement | Mass, Volume, Length , & Elapsed Time

Kindergarten Math Problem Solving Prompts for the Entire Year

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Drawing Triangles (Part 2)

A triangle has sides of length 7 cm, 4 cm, and 5 cm. How many unique triangles can be drawn that fit that description? Explain or show your reasoning.

For access, consult one of our IM Certified Partners .

A triangle has one side that is 5 units long and an adjacent angle that measures \(25^\circ\) . The two other angles in the triangle measure \(90^\circ\) and \(65^\circ\) . Complete the two diagrams to create two different triangles with these measurements.

Is it possible to make a triangle that has angles measuring 90 degrees, 30 degrees, and 100 degrees? If so, draw an example. If not, explain your reasoning.

Segments \(CD\) , \(AB\) , and \(FG\) intersect at point \(E\) . Angle \(FEC\) is a right angle. Identify any pairs of angles that are complementary.

Match each equation to a step that will help solve the equation for \(x\) .

\(3x=\text-4\)

\(\text-4.5 = x-3\)

\(3=\frac {\text{-}x}{3}\)

\(\frac13=\text-3x\)

\(x-\frac{1}{3}=0.4\)

\(\frac{x}{3}=15\)

\(7=\frac{1}{3}+x\)

Add \(\frac13\) to each side.

Add \(\frac {\text{-}1}{3}\) to each side.

Add \(3\) to each side.

Add \(\text-3\) to each side.

Multiply each side by 3..

Multiply each side by \(\text-3\) .

Multiply each side by \(\frac13\) .

Multiply each side by \(\frac {\text{-}1}{3}\)

• If you deposit $ 300 in an account with a 6% interest rate, how much will be in your account after 1 year?
• If you leave this money in the account, how much will be in your account after 2 years?

A YouTube video lesson on problem-solving techniques to find unknown lengths for 5th-grade math students.

This Go Math video covers the Essential Question: How can you use the strategy guess, check, and revise to solve problems with fractions? This is a CHALLENGI...

This video covers Lesson 7.10 Problem Solving-Find Unknown Lengths on pages 345-348 of the 5th grade GO Math textbook.

Lesson Check. (5.NF.B.5b) 1. Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5 _ 8 its length. What is the length of the living room? 2. A rectangular park has an area of 2 _ 3 square mile. The length of the park is 2 2 _ 3 the width of the park.

Go Math Grade 5 Chapter 7 Lesson 10 Problem Solving - Find Unknown Lengths. Includes all whole group components for the lesson. **Please note: This product is for Mimio boards and NOT for SmartBoards.**. Lesson is completely digital, no need to turn your back on your students to write on the board! Just hook up to your projector and teach!

Lesson 7.10- Problem Solving: Find Unknown Lengths (5.NF.5) PDF - 10 pages: Teacher notes, Anchor charts, Problem Solving: Find Unknown Lengths Task Cards, Exit Slip, Answer Keys. DIGITAL (GOOGLE) - Anchor Chart, Problem Solving: Find Unknown Lengths Digital Activity, Answer Keys ♡ Follow my store to be alerted of new products!

Problem Solving Find Unknown Lengths PROBLEM SOLVING Lesson 7.10 COMMON CORE STANDARD cc.5.NF.5b Apply and extend previous understandings of multiplication and division to multiply and divide fractions. 2. 3. 4. Kamal's bedroom has an area of 120 square feet. The width of the room is the length of the room. What are the dimensions of Kamal's ...

Lesson 7.10 Reteach Problem Solving • Find Unknown Lengths Zach built a rectangular deck in his backyard. The area of the deck is 300 square feet. The length of the deck is 1 1_ 3 times as long as the width. What are the dimensions of the deck? 1. Abigail made a quilt that has an area of 4,800 square inches. The length of the quilt is 1 1_

Problem Solving Find Unknown Lengths Lesson 7.10 Reteach Name Multiply Mixed Numbers You can use a multiplication square to multiply mixed numbers. Lesson 7 A Reteach Multiply. 1, x la Write the product in simplest form. Step 1 Write the mixed Step 2 Multiply the number in numbers outside the square. each column by the number in

Problem Solving - Find Unknown Lengths - Lesson 7.10 . Please Donate, if you're a regular! The donate link is below. Thanks so much!! ... Line Plots - Lesson 9.1. Ordered Pairs - Lesson 9.2. Graph Data - Lesson 9.3. Line Graphs - Lesson 9.4. Numerical Patterns - Lesson 9.5. Problem Solving - Find a Rule - Lesson 9.6. Graph and Analyze ...

How can you use the strategy guess, check, and revise to solve problems with fractions?

Lesson 7.10 Problem Solving; Find Unknown Lengths. Lesson 8.1 Investigate - Divide Fractions and Whole Numbers. Lesson 8.2 Problem Solving; Use Multiplication. Lesson 8.3 Connect Fractions to Division. Lesson 8.4 Fraction and Whole-Number Division. Lesson 8.5 Interpret Division with Fractions. Lesson 9.1 Line Plots. Lesson 9.2 Ordered Pairs

Chapter 7; Lesson 10:Problem Solving • Find Unknown Lengths. Please share this page with your friends on FaceBook. Problem Solving ♦ Find Unknown Lenghts: Question 1 ... The length of the painting is \(\large 1\frac{1}{4}\) times the width. What are the dimensions of the painting? feet : by : feet (show solution)

Lesson 7.10 Problem Solving • Find Unknown Lengths 5.NF.5b Module 4: Topic F Lesson 8.1 Investigate • Divide Fractions and Whole Number 5.NF.7a, 5.NF.7b Module 4: Topic G Lesson 8.2 Problem Solving • Use Multiplication 5.NF.7b Module 4: Topic G Lesson 8.3 Connect Fractions to Division 5.NF.3 Module 4: Topic B

Problem Solving . Title: Go Math! Practice Book (TE), G5 Created Date: 3/29/2016 4:08:51 PM

Problem Solving • Find Unknown Lengths. . . . . . . . . . 477A How can you use the strategy guess, check, and revise to solve problems with fractions? Solve problems using the strategy guess, check, and revise. ELL Strategy • Illustrate Understanding 7.10 iStudent Edition 7.10 eTeacher Edition Personal Math Trainer Math on the Spot Video ...

In this lesson we will find unknown lengths when a word problem gives us the total measurement and only a few clues about the length or width.#FifthGradeMath...

Use the diagram to answers Examples 1 and 2. \(\overline{DB}\parallel \overline{FE}\). Example \(\PageIndex{1}\) Name the similar triangles. Write the similarity ...

We can use the strategy guess, check, and revise to solve problems with fractions. We can guess the fraction we need to replace an unknown number and increas...

Chapter 11 Review for Test on Perimeter and Area. Count Equal Groups - Lesson 3.1. Relate Addition and Multiplication - Lesson 3.2. Skip Count on a Number Line - Lesson 3.3. Problem Solving - Model Multiplication - Lesson 3.4. Model with Arrays - Lesson 3.5. Commutative Property of Multiplication - Lesson 3.6. Multiply with 1 and 0 - Lesson 3.7.

Second Grade Math, Unit 7: Problem Solving with Length, Money, and Data. Created by. Holly Sutton. This unit includes 26 lessons to teach problem solving with length, money, and data. Every lesson includes an I Can Statement, Warm-Ups, and a guided lesson. I've also included printable resources that go with some of the lessons.

Recorded with https://screencast-o-matic.com

A triangle has sides of length 7 cm, 4 cm, and 5 cm. How many unique triangles can be drawn that fit that description? ... (From Unit 7, Lesson 2.) Problem 5. Match each equation to a step that will help solve the equation for \(x\). A: ... IM 6-8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics ...

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Unknown Length and Area Problems

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Unknown Length and Area Problems

Related Topics: Lesson Plans and Worksheets for Geometry Lesson Plans and Worksheets for all Grades More Lessons for Geometry Common Core For Geometry

New York State Common Core Math Geometry, Module 5, Lesson 10

Worksheets for Geometry

Student Outcomes

• Students apply their understanding of arc length and area of sectors to solve problems of unknown area and length.

Opening Exercise

In the following figure, a cylinder is carved out from within another cylinder of the same height; the bases of both cylinders share the same center. a. Sketch a cross section of the figure parallel to the base. b. Mark and label the shorter of the two radii as 𝑟 and the longer of the two radii as 𝑠. Show how to calculate the area of the shaded region, and explain the parts of the expression

• Find the area of the following annulus.
• The larger circle of an annulus has a diameter of 10 cm, and the smaller circle has a diameter of 7.6 cm. What is the area of the annulus?
• In the following annulus, the radius of the larger circle is twice the radius of the smaller circle. If the area of the following annulus is 12𝜋 units 2 , what is the radius of the larger circle?
• An ice cream shop wants to design a super straw to serve with its extra thick milkshakes that is double both the width and thickness of a standard straw. A standard straw is 4 mm in diameter and 0.5 mm thick. a. What is the cross-sectional (parallel to the base) area of the new straw (round to the nearest hundredth)? b. If the new straw is 10 cm long, what is the maximum volume of milkshake that can be in the straw at one time (round to the nearest hundredth)? c. A large milkshake is 32 fl. oz. (approximately 950 mL). If Corbin withdraws the full capacity of a straw 10 times a minute, what is the minimum amount of time that it will take him to drink the milkshake (round to the nearest minute)?
• In the circle given, 𝐸𝐷 is the diameter and is perpendicular to chord 𝐶𝐵. 𝐷𝐹 = 8 cm, and 𝐹𝐸 = 2 cm. Find 𝐴𝐶, 𝐵𝐶, 𝑚∠𝐶𝐴𝐵, the arc length of 𝐶𝐸𝐵, and the area of sector 𝐶𝐴𝐵 (round to the nearest hundredth, if necessary).
• Given circle 𝐴 with ∠𝐵𝐴𝐶 ≅ ∠𝐵𝐴𝐷, find the following (round to the nearest hundredth, if necessary). a. 𝑚𝐶𝐷 b. 𝑚𝐶𝐵𝐷 c. 𝑚𝐵𝐶𝐷 d. Arc length 𝐶𝐷 e. Arc length 𝐶𝐵𝐷 f. Arc length 𝐵𝐶𝐷 g. Area of sector 𝐶𝐴𝐷
• Given circle 𝐴, find the following (round to the nearest hundredth, if necessary). a. Circumference of circle 𝐴 b. Radius of circle 𝐴 c. Area of sector 𝐶𝐴𝐷
• Given circle 𝐴, find the following (round to the nearest hundredth, if necessary). a. 𝑚∠𝐶𝐴𝐷 b. Area of sector 𝐶𝐷
• Find the area of the shaded region (round to the nearest hundredth).
• Many large cities are building or have built mega Ferris wheels. One is 600 feet in diameter and has 48 cars each seating up to 20 people. Each time the Ferris wheel turns 𝜃 degrees, a car is in a position to load. a. How far does a car move with each rotation of 𝜃 degrees (round to the nearest whole number)? b. What is the value of 𝜃 in degrees?
• △ 𝐴𝐵𝐶 is an equilateral triangle with edge length 20 cm. 𝐷, 𝐸, and 𝐹 are midpoints of the sides. The vertices of the triangle are the centers of the circles creating the arcs shown. Find the following (round to the nearest hundredth). a. Area of the sector with center 𝐴 b. Area of △ 𝐴𝐵𝐶 c. Area of the shaded region d. Perimeter of the shaded region
• In the figure shown, 𝐴𝐶 = 𝐵𝐹 = 5 cm, 𝐺𝐻 = 2 cm, and 𝑚∠𝐻𝐴𝐼 = 30°. Find the area inside the rectangle but outside of the circles (round to the nearest hundredth).
• This is a picture of a piece of a mosaic tile. If the radius of each smaller circle is 1 inch, find the area of the red section, the white section, and the blue section (round to the nearest hundredth).

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Module 11: Geometry

Using the pythagorean theorem to solve problems, learning outcomes.

• Use the pythagorean theorem to find the unknown length of a right triangle given the two other lengths

The Pythagorean Theorem is a special property of right triangles that has been used since ancient times. It is named after the Greek philosopher and mathematician Pythagoras who lived around [latex]500[/latex] BCE.

Remember that a right triangle has a [latex]90^\circ [/latex] angle, which we usually mark with a small square in the corner. The side of the triangle opposite the [latex]90^\circ [/latex] angle is called the hypotenuse, and the other two sides are called the legs. See the triangles below.

In a right triangle, the side opposite the [latex]90^\circ [/latex] angle is called the hypotenuse and each of the other sides is called a leg.

The Pythagorean Theorem

In any right triangle [latex]\Delta ABC[/latex],

[latex]{a}^{2}+{b}^{2}={c}^{2}[/latex]

where [latex]c[/latex] is the length of the hypotenuse [latex]a[/latex] and [latex]b[/latex] are the lengths of the legs.

To solve problems that use the Pythagorean Theorem, we will need to find square roots. In Simplify and Use Square Roots we introduced the notation [latex]\sqrt{m}[/latex] and defined it in this way:

[latex]\text{If }m={n}^{2},\text{ then }\sqrt{m}=n\text{ for }n\ge 0[/latex]

For example, we found that [latex]\sqrt{25}[/latex] is [latex]5[/latex] because [latex]{5}^{2}=25[/latex].

We will use this definition of square roots to solve for the length of a side in a right triangle.

Use the Pythagorean Theorem to find the length of the hypotenuse.

Use the Pythagorean Theorem to find the length of the longer leg.

Kelvin is building a gazebo and wants to brace each corner by placing a [latex]\text{10-inch}[/latex] wooden bracket diagonally as shown. How far below the corner should he fasten the bracket if he wants the distances from the corner to each end of the bracket to be equal? Approximate to the nearest tenth of an inch.

In the following video we show two more examples of how to use the Pythagorean Theorem to solve application problems.

• Question ID 146918, 146916, 146914, 146913. Authored by : Lumen Learning. License : CC BY: Attribution
• Solve Applications Using the Pythagorean Theorem (c only). Authored by : James Sousa (mathispower4u.com). Located at : https://youtu.be/2P0dJxpwFMY . License : CC BY: Attribution
• Prealgebra. Provided by : OpenStax. License : CC BY: Attribution . License Terms : Download for free at http://cnx.org/contents/[email protected]