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1 Slide / 0 Slide / 0 nd Grade Geometry Presentation Part Slide / 0 Table of Contents Presentation D Shapes - Sides and Angles - Part D Shapes - Part Lab: D Shapes Lab D Shapes - Part D Shapes - Part Lab: D Shapes Lab Drawing Shapes Pattern Blocks Lab: Going Geodesic with Triangles Slide 5 / 0 Slide / 0 Table of Contents Presentation click on the topic to go to that section Dividing Rectangles into Rows and Columns - Part Dividing Rectangles into Rows and Columns - Part Area - Halves - Thirds - Fourths - Pattern Blocks - Review Part Part Part Array Word Problems Slide 6 / 0 Standards for Mathematical Practices MP Make sense of problems and persevere in solving them. MP Reason abstractly and quantitatively. MP Construct viable arguments and critique the reasoning of others. MP Model with mathematics. MP5 Use appropriate tools strategically. Dividing Rectangles into Rows and Columns Part MP6 Attend to precision. MP7 Look for and make use of structure. MP8 Look for and express regularity in repeated reasoning. Click on each standard to bring you to an example of how to meet this standard within the unit. Click to Return to Table of Contents

2 Slide 7 / 0 Column a line or objects that go up and down Slide 8 / 0 Row a line or objects that go side to side Slide 9 / 0 Columns and Rows Use the line and line up the red dots to divide the rectangle into equal columns. Slide 0 / 0 Columns and Rows Use the line and line up the red dots to divide the rectangle into equal rows. Slide / 0 How many equal columns does this rectangle have? Slide / 0 How many equal rows does this rectangle have?

3 Slide / 0 How many squares are inside this rectangle? A B 0 C 8 D 7 Slide / 0 Is this rectangle split into rows or columns? A columns B rows Slide 5 / 0 5 How many rows are in this rectangle? Slide 6 / 0 6 Is this rectangle split into rows or columns? A columns B rows Slide 7 / 0 7 How many columns are in this rectangle? Slide 8 / 0 8 How many equal squares are in this rectangle?

4 Slide 9 / 0 Slide 0 / 0 Slide / 0 Slide / 0 Columns and Rows Dividing Rectangles into Rows and Columns Part I used the squares to make a rectangle. click each rectangle for a question. How many columns are in this rectangle? How many rows are in this rectangle? Slide / 0 Columns and Rows Click to Return to Table of Contents How many total squares are in this rectangle? Slide / 0 9 How many rows does this rectangle have? Show one rectangle a student made from the squares. Group together, copy and paste onto the next pages to answer formative assessment questions about this rectangle.

5 Slide 5 / 0 0 How many columns does this rectangle have? Slide 6 / 0 How many total squares are in this rectangle? Slide 7 / 0 Show one rectangle a student made from the squares. Slide 8 / 0 How many rows in this rectangle? Group together, copy and paste onto the next pages to answer formative assessment questions about this rectangle. Slide 9 / 0 How many columns in this rectangle? Slide 0 / 0 How many total squares in this rectangle?

6 Slide / 0 Show one rectangle a student made from the squares. Slide / 0 5 How many rows in this rectangle? Group together, copy and paste onto the next pages to answer formative assessment questions about this rectangle. Slide / 0 6 How many columns in this rectangle? Slide / 0 7 How many total squares in this rectangle? Slide 5 / 0 Slide 6 / 0

7 Slide 7 / 0 Slide 8 / 0 Area The number of equal squares inside a rectangle is called the area. Area Click to Return to Table of Contents Slide 9 / 0 To find the area of this rectangle, we can move it onto the grid to see how many equal squares it covers. Slide 0 / 0 Move the rectangle onto the grid to find the area. How many rows? How many columns? What is the area of the rectangle? Slide / 0 Move the rectangle onto the grid to find the area. How many rows? How many columns? What is the area of the rectangle? Slide / 0 Move the rectangle onto the grid to find the area. How many rows? How many columns? What is the area of the rectangle? What is the area of the rectangle? Can you think of a short cut to find the answer?

8 Slide / 0 Slide / 0 Give students centimeter grid paper and different rectangular shapes. Have them trace the shapes onto the paper and find the area of each one. 8 The area of this rectangle is Yes No Click on the square below to download and print free centimeter grid paper. Slide 5 / 0 Slide 6 / 0 9 The area of this rectangle is 0 How many rows are in this rectangle? A B 5 C 5 D 8 Slide 7 / 0 Slide 8 / 0 What is the area of this rectangle? What is the area of this rectangle?

9 Slide 9 / 0 Slide 50 / 0 Slide 5 / 0 Dividing Shapes into Halves Slide 5 / 0 Fractions When you divide something into two equal parts, you divide it into half. = = Slide 5 / 0 Fractions When a circle is divided into two halves, each half has to be equal. Click to Return to Table of Contents halves = whole Slide 5 / 0 Fractions

10 Slide 55 / 0 Fractions A rectangle can be divided into halves. Slide 56 / 0 Fractions A rectangle can also be divided into halves this way. Slide 57 / 0 Slide 58 / 0 A part of a whole is called a fraction. This fraction shows one-half. Fractions The top number shows how many parts you are talking about. The bottom number shows how many parts there are in all. part is yellow parts is the total Fractions Slide 59 / 0 Is this shape divided into equal parts? Slide 60 / 0 Is this shape divided into equal parts? Yes No Yes No

11 Slide 6 / 0 5 Which shows of this circle? Slide 6 / 0 6 Which shows of this rectangle? A C A C B D B D Slide 6 / 0 Slide 6 / 0 Slide 65 / 0 Slide 66 / 0 Thirds Dividing Shapes into Thirds When you divide something into three equal parts, you divide it into thirds. A third is one of three equal parts. Click to Return to Table of Contents

12 Slide 67 / 0 Thirds whole circle can be divided into three equal parts. Each part is one part out of. Slide 68 / 0 Thirds whole rectangle can be divided into three equal parts. Each part is one part out of. = = Slide 69 / 0 Thirds A rectangle can also be divided into three parts this way. Slide 70 / 0 Thirds Can a triangle be divided into equal parts? = Slide 7 / 0 Thirds Can an oval be divided into equal parts? Slide 7 / 0 7 Is this circle divided into equal parts? Yes No

13 Slide 7 / 0 8 Is this square divided into equal parts? Yes No Slide 7 / 0 9 Which shows of a circle? A C B D Slide 75 / 0 Slide 76 / 0 0 Which rectangle is divided equally into thirds? A C B D Slide 77 / 0 Slide 78 / 0 Dividing Shapes into Fourths Click to Return to Table of Contents

14 Slide 79 / 0 Fourths When you divide something into four equal parts, you divide it into fourths. Slide 80 / 0 Fourths If you cut something into fours, each part is one-fourth. A fourth is one of four equal parts. What might be something you would cut into fourths? Slide 8 / 0 Fourths whole circle can be divided into four equal parts. Each part is one part out of. Slide 8 / 0 Fourths whole rectangle can be divided into four equal parts. Each part is one part out of. = = Can a rectangle be divided into fourths in another way? Slide 8 / 0 Fourths Slide 8 / 0 Fourths = =

15 Slide 85 / 0 Slide 86 / 0 Fourths = Fourths How many ways can you divide a square into fourths? click each square to find out Slide 87 / 0 Fourths Karen said she could divide any shape into fourth. Her friend drew a shape and Karen showed her how to divide it into fourth. Karen told her friend that it is as easy as just making parts. Is she correct? Slide 88 / 0 This circle is divided into four equal parts. Yes No Slide 89 / 0 This rectangle is divided into four equal parts. Yes Slide 90 / 0 Which shows of a circle? No A C B D

16 Slide 9 / 0 Which two rectangles are divided into fourths? Slide 9 / 0 5 Which shows a circle divided into fourths? A C A C B D B D Slide 9 / 0 Slide 9 / 0 Slide 95 / 0 Slide 96 / 0 Dividing Shapes into Pattern Blocks What shape is this? Click to Return to Table of Contents

17 Slide 97 / 0 Use your pattern blocks to see how many triangles fit onto the trapezoid. Slide 98 / 0 Each triangle is one part out of the that make up the trapezoid. Whole Slide 99 / 0 Slide 00 / 0 What shape is this? Use your pattern blocks to see how many triangles fit onto the rhombus. Slide 0 / 0 Each triangle is one part out of the that make up the rhombus. Slide 0 / 0 What shape is this? Whole

18 Slide 0 / 0 Use your pattern blocks to see how many trapezoids fit onto the hexagon. Slide 0 / 0 Whole Each trapezoid is one part out of the that make up the hexagon. Slide 05 / 0 Slide 06 / 0 whole Use your pattern blocks to see how many rhombuses fit onto the hexagon. Each rhombus is one part out of the that make up the hexagon. Slide 07 / 0 6 A rhombus is of a hexagon. Yes No Slide 08 / 0 7 A triangle is of a trapezoid. Yes No

19 Slide 09 / 0 8 Which shape is of a hexagon? Slide 0 / 0 9 Which shape is of a trapezoid? A C A C B D B D Slide / 0 Slide / 0 0 What shape is of a rhombus? A C B D Slide / 0 Slide / 0 Dividing Shapes into Review Click to Return to Table of Contents

20 Slide 5 / 0 When you divide something into two equal parts, you divide it into half. Slide 6 / 0 A circle can be divided into half. Slide 7 / 0 A rectangle can be divided into half. Slide 8 / 0 Pattern block shapes can also be divided into halves using other pattern blocks. Slide 9 / 0 When you divide something into three equal parts, you divide it into thirds. Slide 0 / 0 A circle can be divided into thirds.

21 Slide / 0 Slide / 0 A rectangle can be divided into thirds. Pattern block shapes can also be divided into thirds using other pattern blocks. Slide / 0 When you divide something into four equal parts, you divide it into fourths. Slide / 0 A circle can be divided into fourths. Slide 5 / 0 A rectangle can be divided into fourths. Slide 6 / 0 This circle is divided into halves. Yes No

22 Slide 7 / 0 How many equal parts is this shape divided into? Slide 8 / 0 How many equal parts is this shape divided into? A halves B thirds C fourths D whole Slide 9 / 0 Slide 0 / 0 How many equal parts is this shape divided into? Slide / 0 Slide / 0 Pt. Click to Return to Table of Contents

23 Slide / 0 Slide / 0 This is called an array. An array is when we organize objects in rows and columns. What do you notice about the array we made? Slide 5 / 0 Slide 6 / 0 Can we arrange them in columns instead of rows? Can you think of any other ways to arrange the chairs into an array? Slide 7 / 0 Slide 8 / 0 How can we arrange these 5 cubes into an array? How can we arrange these 0 cubes into an array?

24 Slide 9 / 0 Slide 0 / 0 5 Is this an array? Yes No How can we arrange these 0 cubes into an array? Slide / 0 Slide / 0 6 Is this an array? 7 Is this an array? Yes No Yes No Slide / 0 Slide / 0 8 Is this an array? Yes No 9 Which array is not for chairs? A B C

25 Slide 5 / 0 Slide 6 / 0 Slide 7 / 0 Slide 8 / 0 Slide 9 / 0 Slide 50 / 0 Part How many rows are in this array?

26 Slide 5 / 0 Slide 5 / How many cubes are in each row? How many cubes are there in all? Slide 5 / 0 Slide 5 / What would the addition sentence look like? How many columns are in this array? + + = Slide 55 / 0 Slide 56 / 0 How many cubes are in each column? How many cubes are there in all?

27 Slide 57 / 0 Slide 58 / What is the same about these two arrays? What is different? Divide the array by rows. Write an addition sentence to find the total number of stars in the array. How many addends will you have? Slide 59 / 0 Slide 60 / 0 Now divide it into columns and write an addition sentence to show the total. Divide the array by rows. Write an addition sentence to find the total number of stars in the array. How many addends will you have? Slide 6 / 0 Slide 6 / 0 Now divide it into columns and write an addition sentence to show the total. Make an array with 8 hearts. How many rows are there? How many columns? How many in all?

28 Slide 6 / 0 Slide 6 / 0 Make an array with hearts. How many rows are there? How many columns? How many in all? Slide 65 / 0 50 What two arrays show + +? A Make a different array with hearts. How many rows are there? How many columns? How many in all? Slide 66 / 0 5 How many addends would there be in the addition sentence to match this array? B C Slide 67 / 0 5 Does the array below represent =? Yes Slide 68 / 0 5 The array below shows = 6. True False No

29 Slide 69 / 0 Slide 70 / 0 Slide 7 / 0 Slide 7 / 0 Slide 7 / 0 Slide 7 / 0 Make an array for 5 objects. Write an addition sentence to show the total. Pt. Click to Return to Table of Contents

30 Slide 75 / 0 can also help us solve addition sentences. Use the cubes to show =? Slide 76 / 0 Make an array to show =? How many rows will you have? How many cubes will be in each row? What is the total? Slide 77 / 0 How many rows will you have? How many cubes will be in each row? What is the total? Slide 78 / 0 Make an array to show =? Make an array to show =? What is the sum? What is the sum? Slide 79 / 0 Array Roll Slide 80 / 0 5 There are 0 objects in this array. Yes No Directions: - Split students into partners. - Each group needs a die, counters, and worksheet. - Roll the die once to find the number of rows in your array. - Roll it again to find the number of objects in each row. - Build your array and write the addition sentence to match.

31 Slide 8 / 0 55 What is the correct addition sentence for this array? A + + = B = C 7 + = D = Slide 8 / 0 56 What is the correct addition sentence for this array? A B C D Slide 8 / 0 Slide 8 / 0 57 How many objects are in this array? Slide 85 / 0 Slide 86 / 0 Array Word Problems Click to Return to Table of Contents

32 Slide 87 / 0 Word Problems Tina saw a garden while she was walking to school. She wanted to know how many flowers there were in all. Write an addition sentence to show the total number of flowers. Slide 88 / 0 Word Problems Mac has a bookshelf in his bedroom. Write an addition sentence to show the total number of books he has on his shelves. Slide 89 / 0 Word Problems Abby lined up her blocks at school. Her teacher asked her how many blocks she has in all. What addition sentence could help Abby find the answer? Slide 90 / 0 Word Problems Beth's mom gave her, her brother and her sister 6 pieces of candy each. How many pieces of candy do they have in all? Slide 9 / 0 Word Problems Kim took the egg carton out of the refrigerator. She wanted to know how many eggs there were in all. There are 5 eggs in both rows. How many eggs are there in all? Draw an array to help you. Write an addition sentence to match. Slide 9 / 0 Word Problems Josh and his two friends are playing a card game. Each person has 6 cards. How many cards do they have in all?

33 Slide 9 / 0 58 Kyle went to the farm. There were 5 pig pens. Each pen had pigs. How many pigs were there in all? Pick the array that represents this problem. Slide 9 / 0 59 How many rows would there be in an array to match this word problem? A C Lenny saw wires. There were 6 birds on each wire. How many birds would there be in all? B Slide 95 / 0 Slide 96 / 0 60 Todd went to the store to get bread. There were 8 shelves of bread. Each shelf had loaves of bread. How many loaves were there in all? 6 There were 7 men selling balloons at the parade. Each man was holding 5 balloons. How many balloons were there in all? Does the array below match this word problem? Yes Draw an array at your seat to help you solve this problem. No Slide 97 / 0 Slide 98 / 0 6 Which addition sentence matches this word problem? Harry's office door has 5 rows of windows. Each row has panels. How many window panels are there in all? A B C 5 +

34 Slide 99 / 0 Slide 00 / 0 Slide 0 / 0

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