2. Write the products for these. SAMPLE 4 6 = = = 4 3 = 8 3 = 3. Use a doubling strategy to complete this table. Step Ahead 6.

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1 . Introducing the Eights Multiplication Facts. Write the products for these. Look at this array. What do you see? What strategy can you use to figure out the product? = = Look at the next array. What do you see? What strategy can you use to figure out the product? I used the double, double strategy. Look at the next array. What do you see? How can you use the fours fact to help you figure out the product for the eights fact? sixes is the same as double, double, double. Is this an easy strategy to use? What other eights facts could you solve using this strategy?. Look at these pictures. Write the products. double 9 double, double 9 = = = = = = = = = = double, double, double 9 = = = 7 = 7 = 7 = = = =. Use a doubling strategy to complete this table. Number 7 Double ( ) 0 Double Double ( ) = = = Double Double Double ( ) Write numbers in the squares so that the numbers in each row and column multiply to give the product in the circle = 9 = 9 = ORIGO Stepping Stones. ORIGO Stepping Stones. 9

2 . Reinforcing the Eights Multiplication Facts. Complete each picture. Amber bought of these packs of pencils. How many pencils did she buy in total? How could you figure it out? What should you write in each of the boxes below to show how many pencils she bought? Double is, double is, and double is. So packs of is. Jamal bought different packs of pencils. Each pack had pencils. How many pencils did he buy? How could you figure it out? What other problems could you solve using these strategies?. Show how you could use the double, double, double strategy to solve each word problem. Zoe bought packs of stickers. There are stickers in each pack. How many stickers did she buy in total? double double It is easier to think double than double, double, double. is is double is stickers Ramon bought packs of trading cards. There are 9 cards in each pack. How many trading cards did he buy in total? double double is is double is cards. Complete each fact. Then write the turnaround fact for each. = 7 = =. Think about the fours and eights facts. Write the missing number in each equation. 7 = = g. 7 Use repeated doubling to complete the missing numbers. = e. = h. = = f. 0 = 0 i. = 0 ORIGO Stepping Stones. ORIGO Stepping Stones.

3 . Exploring Patterns with the Eights Multiplication Facts Use the hundred chart on page to answer these questions. Look at this hundred chart.. Look at the color pattern of numbers. Are the numbers odd or even? Color all the numbers above that you know are products of the eights facts. There are two numbers in the bottom two rows that are the products of and. Is there a pattern you can see that could help you figure out the numbers? What strategy could you use to check your answer? Imagine the chart continued to 00. What are some other numbers you would color to continue the pattern? How do you know?. Look at the numbers in a single column. What do you notice?. Look at the numbers that lie along a sloping line. What change happens in the ones digit from one number to the next?. Loop all the numbers in the chart that are products of the fours facts. What pattern do you notice? Complete these facts. Then write about the pattern you notice. ORIGO Stepping Stones. ORIGO Stepping Stones.

4 . Introducing the Ones Multiplication Facts. Complete the number fact to match each picture. What do you see in this picture? ball for each student How many balls in total? line of ducks How many ducks in total? What number sentence could you write to describe the row of vehicles? What else might you see in one row? Draw a picture to match. Write a number sentence to describe your picture.. Complete the picture to match the problem. Then complete the related number fact. 7 birds sitting on a fence cookies in a jar How many birds in total? How many cookies in total?. In each story write a number greater than but less than 0. Then draw a matching picture and write the related number fact. bananas in a bunch How many bananas in total? muffins on a tray How many muffins in total? = stamps in a row How many stamps in total? flowers in a vase How many flowers in total? Write a rule you can use when you multiply by. = = ORIGO Stepping Stones. ORIGO Stepping Stones.

5 . Introducing the Zeros Multiplication Facts. Draw rows of stars on the flag to match each multiplication fact. Describe what you see in each row. Row A Row B Row C Row D What number sentences could you write to describe each row? Look at Row D. What happens when you multiply by 0?. Draw the picture. Then write the multiplication fact. cookies in each jar cookies in each jar cookie in each jar 0 cookies in each jar =. Draw jumps on the number line to show each fact. Then write the products = 0 = 0 = 0 = = 0 = = = 0 = Write a rule you can use when you multiply by 0. ORIGO Stepping Stones. ORIGO Stepping Stones. 7

6 . Reinforcing the Ones and Zeros Multiplication Facts Tyler planted seedlings in one row of. How many seedlings did he plant? How do you know? Claire had packets of stickers. She gave stickers to each of her friends until the packets were empty. How many stickers did Claire have left? How do you know? Rita had pencils on her desk. Then her friend gave her another pencil. How many pencils did Rita have in total? How do you know? Gavin had mushrooms on his plate. He ate none of them. How many mushrooms did Gavin eat? How do you know? What can you say about the math involved in each story? = + 7 =. Read the equation carefully. Then write the answer. 9 + = e. 0 = 0 = f. 0 =. Multiply the two numbers across each row and write the product in the matching circle. Then multiply the two numbers down each column and write the product in the matching circle. 0. Figure out what numbers must be in each row and column to make the product in the matching circle. 0 e. f. 9 0 Write a story problem to match this fact = 9 g. 7 = h = i. 0 = ORIGO Stepping Stones. ORIGO Stepping Stones. 9

7 .7 Solving Word Problems Involving Multiplication. Figure out the solution to each problem. Show your thinking. There are plates on a picnic table. Each plate has strawberries. There was also one banana on of the plates. How many strawberries are there in total? How do you know? What numbers in the story helped you? Which numbers would you use to figure out how many pieces of fruit there are in total?. Write an equation to match each story. You can use a letter for the unknown amount. Then figure out the solution for each problem. The teacher has rulers. Each ruler is foot long and of them are plasti What is the total length of the rulers if they are laid end to end? feet Paige arranged a bookcase so that each shelf had 9 books. There are shelves of books. 7 of the books are about cats. How many books are there in total? I need to find the total number of strawberries. I can use the letter T to represent the total number of strawberries. So T = x. Every day Mika and of her friends jog laps around the athletics track. How many laps will Mika jog in days? laps Chairs in an auditorium were set out in rows. There were chairs in each row. Only people sat in each row. How many people are there in total? Isabelle had pieces of ribbon. Each ribbon was feet long. She needed twice the total length that she ha How many feet of ribbon did Isabelle need in total? A fruit store sells -kilogram bags of apples and oranges. Dad bought bags of oranges and bags of apples. What was the total weight of all the fruit Dad bought? Evan baked a tray of cookies. The tray held rows of cookies with 7 cookies in each row. He had some cookie dough left over so he baked another tray that had only one row of 7 cookies on it. How many cookies did he bake? Write a story that matches this number sentence. feet kg cookies, then add books people 0 ORIGO Stepping Stones.7 ORIGO Stepping Stones.7

8 . Janice had three strips of paper. The picture shows how she folded two of them into parts of equal size. The first strip is one whole. What would you label each part of the other strips? When you write Exploring Related Partitions (Fraction Strips) what does the tell you? The tells me that three of the parts are needed to fill the whole. Look at the folds that made sixths. How are they related to the folds that made thirds?. Draw a fold line on the second strip to show halves. Draw fold lines on the last strip to show fourths. Then label each part of the strips. The paper strips belong to the fraction family because you can make sixths by first making thirds. The first strip in each of these is one whole.. Draw fold lines on the second strip to show thirds. Draw fold lines on the last strip to show ninths. Then label each part of the strips.. Write the fraction that matches the fraction words. Then write how many parts are needed to fill the whole. Fraction Word Fraction Parts in One Whole one-third one-fourth one-eighth. This strip is one whole. Draw lines to split the strip into sixths. Then shade What does the tell you? What does the tell you? of the strip. Use paper strips to find a different fraction that belongs in each of the and fraction families. Draw lines to show the folds and label each part of the strips. ORIGO Stepping Stones. ORIGO Stepping Stones.

9 .9 Exploring the Additive Nature of Common Fractions. For each number line, the distance from 0 to is one whole. Write the answer to each problem. Draw jumps on the number line to show your thinking. Look at this number line. The distance from 0 to is one whole. Show how you would mark Wesley is making a cake. He needs cup of sugar but only has a measuring cup. on the number line. What can he do to measure the correct amount of sugar? What does this number line show? I would split the line from 0 to into equal parts. The distance from 0 to the first mark will be of the total distance from 0 to. 0. Look at how each number line has been split up. The distance from 0 to is one whole. Write the fraction that each arrow is pointing to cup Mary has a bottle that holds of a gallon of water. How many bottles will she need to make of a gallon of water? Ella s family bought a pizza cut into eighths. Ella ate of the whole pizz How many pieces of pizza did she eat? 0 0. Write an addition equation to match the jumps on the number line = = = 0 0 Complete each equation. + + = = + = ORIGO Stepping Stones.9 ORIGO Stepping Stones.9

10 .0 Exploring Improper Fractions (Number Line Model) One batch of muffins needs cup of mashed banan Logan wants to make batches but he only has a measuring cup. What can he do to measure the correct amount of banana for batches of muffins? How could you show your thinking on a number line? What fraction could you write to show the total amount of banana? 0 What do you notice about the fraction? Logan can use the measuring cup two times for one batch, so he can use it four times for two batches. The numerator is greater than the denominator. I can see on the number line that is greater than On this number line, the distance from 0 to is one whole. Write the fraction that should be in each box. Draw jumps to help you. 0 On each number line, the distance from 0 to is one whole. Write the fraction that should be in each box. Draw jumps to help you... Use the fractions you wrote on the number lines above... List the fractions that are less than. List the fractions that are greater than but less than Complete each equation = = = = ORIGO Stepping Stones.0 ORIGO Stepping Stones.0 7

11 . Exploring Improper Fractions (Area Model). Each large shape is one whole. Color the shapes to show each fraction. On this number line, the distance from 0 to is one whole. 0 What fraction is the arrow pointing to? How do you know? Fractions greater than can also be shown with shapes. Each large square on the right is one whole. Each whole is split into four parts of equal size. How many fourths are shaded in total? What fraction is shown?. Each large shape is one whole. Write the fraction that is shade e. g. 9 9 f. h. 0 Each square is one whole. Draw lines to split the squares into parts of equal size. Then color parts to show 9. ORIGO Stepping Stones. ORIGO Stepping Stones. 9

12 . Identifying Fractions For these number lines, the distance from 0 to is one whole. Draw a line to connect each fraction to its position on the number line. Eight friends shared a pizz Each friend had one-eighth of the whole pizz What fraction can you write to show how many eighths were eaten? What is another way of describing how much pizza was eaten? e. f. is the same as one whole. ýone wholeý is the same as.. Each red shape is one whole. Color parts to show each fraction Use the fractions above to answer these questions. List the fractions that equal. List the fractions that equal. What are three other fractions that would equal? Draw shapes to show 7 looks like. e. e. 9. Be sure to explain what one whole g. 7. Loop the fractions above that are equal to or. 0 ORIGO Stepping Stones. ORIGO Stepping Stones.