Grade 3 Math Common Core Flexible Grouping Monday 2/11/2013 Day: 2 Session CCSS Student Friendly Objective Mathematical Practice 43 3.MD.8 Students will be able to find the perimeter of polygons by solving for the unknown when given a problem. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Use appropriate tools strategically. Attend to precision. Can students find the side-length of a rectangle if only one side-length and the perimeter are given? Can students articulate that perimeter is the distance around the outside of an object? SMART Board, math notebook This standard explores the concept of perimeter as being the distance around the outside of a particular object, as well as determine unknown side lengths when given. Students will understand the difference between perimeter and area; perimeter does not determine area and area does not determine perimeter. Students will master the ability to calculate the perimeter of an object by measuring all the sides of an object and adding those measurements together. Essential Question (Revised Blooms) Materials Before During Spend about five minutes reviewing the warm-up. Finding the perimeter Students should be introduced to the terms length and width. You can find the perimeter by adding the distance around the object, or if it’s a quadrilateral, 2L + 2W. Remind students of the rules for a square/rectangle. Squares: all sides are equal, Rectangle: opposite sides are equal. Students can challenge a partner by making a shape, writing down measurements for each side, and have the partner determine the perimeter. Or, given a perimeter, the partner can determine unknown side lengths. Work through the smartboard slides for supplement. Make sure students understand perimeter = outside, area = inside. After Differentiation Assessment Magnet Arts Integration Math Club Extension Students then break off into pairs or small groups to solve the practice problems. TOTD: 2/11/2013 ticket out the door. Make sure to keep this information for PEP data. Flexible groups based on teacher input and formative data. Exit ticket Dance: movement to practice on the 1,000 chart, Technology: SMART Board/TenMarks/Khan Academy http://www.khanacademy.org/commoncore#grade-3, Music: Mr. Lee’s raps CMS Unit 6 Grade 3 Math Common Core Flexible Grouping Session CCSS Student Friendly Objective Mathematical Practice Essential Question (Revised Blooms) Materials Before During Wednesday 2/13/2013 Day: 4 44 3.MD.8 Students will be able to find the perimeter of polygons by solving for the unknown when given a problem. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Use appropriate tools strategically. Attend to precision. Can students find the side-length of a rectangle if only one sidelength and the perimeter are given? Can students articulate that perimeter is the distance around the outside of an object? SMART Board, math notebook This standard explores the concept of perimeter as being the distance around the outside of a particular object, as well as determine unknown side lengths when given. Students will understand the difference between perimeter and area; perimeter does not determine area and area does not determine perimeter. Students will master the ability to calculate the perimeter of an object by measuring all the sides of an object and adding those measurements together. Spend about five minutes reviewing the warm-up. Perimeter word problems For word problems, students must be familiar with the terms length and width. Length: how long. Width: how wide. On a rectangle, length is horizontal and width is vertical. These should not be used as multiplication. For example, a rectangle with a length of 4 and width of 5, the perimeter is not 20. That is the difference between perimeter and area. Work through the smartboard slides for supplement. Make sure students can still articulate that perimeter = outside. After Differentiation Assessment Magnet Arts Integration Math Club Extension Students then break off into pairs or small groups to solve the practice problems. TOTD: 2/13/2013 ticket out the door. Make sure to keep this information for PEP data. Flexible groups based on teacher input and formative data. Exit ticket Dance: movement to practice on the 1,000 chart, Technology: SMART Board/TenMarks/Khan Academy http://www.khanacademy.org/commoncore#grade-3, Music: Mr. Lee’s raps CMS Unit 6 Grade 3 Math Common Core Flexible Grouping Thursday 2/14/2013 Day: 5 Session CCSS Student Friendly Objective Mathematical Practice 45 3.MD.5; 3.MD.6; 3.MD.7 Students will be able to find the area of polygons by counting unit squares and utilizing multiplication. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Use appropriate tools strategically. Attend to precision. What does the length/width of a rectangle describe about the squares covering it? How do the squares covering a rectangle compare to an array? How is multiplication used to count the number of objects in an array? SMART Board, math notebook This standard explores the concept of area in greater depth. While perimeter is understood as the amount of space around an object, area is distinguished as being the amount of space that exists within an object. This standard has many parts: Students should be able to find the areas of rectangles by multiplication. They should then be able to connect arbitrary whole number multiplication to an area model, and to use the model to understand the distributive property of multiplication. Finally, students should be able to find areas of rectilinear figures by decomposing them into rectangles. Essential Question (Revised Blooms) Materials Before During Spend about five minutes reviewing the warm-up. Finding the area Students should understand that area, as opposed to perimeter, is the amount of space inside an object. We call them square units. In order to find the area, you count the number of squares inside the object. Students should utilize multiplication to find the area by multiplying the length and width. They should be familiar with using the distributive property. For example, a rectangle with an area of 3x12 can be calculated as 3 x (10+2), or 3x10 + 3x2 = 36. Guide students into understanding that perimeter = count the outside (addition), area = count the inside (multiplication). Work through the smartboard slides for supplement. After Differentiation Assessment Magnet Arts Integration Math Club Extension Students then break off into pairs or small groups to solve the practice problems. TOTD: 2/14/2013 ticket out the door. Make sure to keep this information for PEP data. Flexible groups based on teacher input and formative data. Exit ticket Dance: movement to practice on the 1,000 chart, Technology: SMART Board/TenMarks/Khan Academy http://www.khanacademy.org/commoncore#grade-3, Music: Mr. Lee’s raps CMS Unit 6 Grade 3 Math Common Core Flexible Grouping Friday 2/15/2013 Day: 6 Session CCSS Student Friendly Objective Mathematical Practice 46 3.MD.5; 3.MD.6; 3.MD.7 Students will be able to find the area of polygons by counting unit squares and utilizing multiplication. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Use appropriate tools strategically. Attend to precision. What does the length/width of a rectangle describe about the squares covering it? How do the squares covering a rectangle compare to an array? How is multiplication used to count the number of objects in an array? SMART Board, math notebook This standard explores the concept of area in greater depth. While perimeter is understood as the amount of space around an object, area is distinguished as being the amount of space that exists within an object. This standard has many parts: Students should be able to find the areas of rectangles by multiplication. They should then be able to connect arbitrary whole number multiplication to an area model, and to use the model to understand the distributive property of multiplication. Finally, students should be able to find areas of rectilinear figures by decomposing them into rectangles. Essential Question (Revised Blooms) Materials Before During Spend about five minutes reviewing the warm-up. Area word problems For word problems, students must be familiar with the terms length and width. Length: how long. Width: how wide. On a rectangle, length is horizontal and width is vertical. Students should use multiplication for this. They also need to understand a shape can have a different perimeter and area. You should not use multiplication for perimeter. Work through the smartboard slides for supplement. After Differentiation Assessment Magnet Arts Integration Math Club Extension Students then break off into pairs or small groups to solve the practice problems. TOTD: 2/15/2013 ticket out the door. Make sure to keep this information for PEP data. Flexible groups based on teacher input and formative data. Exit ticket Dance: movement to practice on the 1,000 chart, Technology: SMART Board/TenMarks/Khan Academy http://www.khanacademy.org/commoncore#grade-3, Music: Mr. Lee’s raps CMS Unit 6 Grade 3 Math Common Core Flexible Grouping Monday 2/18/2013 Day: 1 Session CCSS Student Friendly Objective Mathematical Practice 47 3.NF.1 Students will be able to develop an understanding of fractions as numbers by identifying the amount of equal parts within a shape. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Use appropriate tools strategically. Attend to precision. Can students match a fraction with its word name and picture representation? Are students able to create a specified fraction using pictures or manipulatives and then write it in the form of a/b? Can students use appropriate vocabulary to name the specific parts of a fractional number (denominator and numerator)? SMART Board, math notebook This particular skill introduces students to the notion that partial numbers exists between those whole numbers. Students need practice identifying fractions with their appropriate word name and picture representation. To help with conceptualizing fractions as parts of a whole, students will use fraction manipulatives to compare portions of a circle or rectangle and its whole counterpart. In this manner, students can better understand that fractions are pieces of a whole. Essential Question (Revised Blooms) Materials Before During Spend about five minutes reviewing the warm-up. Fraction pictures Fractions are equal parts of a whole thing. The numerator is the top number (some of the equal parts), and the denominator is the bottom number (all the equal parts). Students will need to visualize this first through pictures of polygons. The whole thing is the circle or rectangle. There can be individual parts (that are equal in size) inside the shapes. Students should get in the habit of first counting the number of parts and making it the denominator. Next, count the number of parts shaded in and make it the numerator. Guide students in how to read the fraction as well. Work through the smartboard slides for supplement. After Differentiation Assessment Magnet Arts Integration Math Club Extension Students then break off into pairs or small groups to solve the practice problems. TOTD: 2/18/2013 ticket out the door. Make sure to keep this information for PEP data. Flexible groups based on teacher input and formative data. Exit ticket Dance: movement to practice on the 1,000 chart, Technology: SMART Board/TenMarks/Khan Academy http://www.khanacademy.org/commoncore#grade-3, Music: Mr. Lee’s raps CMS Unit 7 Grade 3 Math Common Core Flexible Grouping Session CCSS Student Friendly Objective Mathematical Practice Essential Question (Revised Blooms) Materials Before During Tuesday 2/19/2013 Day: 2 48 3.NF.1 Students will be able to develop an understanding of fractions as numbers by identifying the amount of equal parts within a shape. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Use appropriate tools strategically. Attend to precision. Can students match a fraction with its word name and picture representation? Are students able to create a specified fraction using pictures or manipulatives and then write it in the form of a/b? Can students use appropriate vocabulary to name the specific parts of a fractional number (denominator and numerator)? SMART Board, math notebook This particular skill introduces students to the notion that partial numbers exists between those whole numbers. Students need practice identifying fractions with their appropriate word name and picture representation. To help with conceptualizing fractions as parts of a whole, students will use fraction manipulatives to compare portions of a circle or rectangle and its whole counterpart. In this manner, students can better understand that fractions are pieces of a whole. Spend about five minutes reviewing the warm-up. Fraction pictures Continued from 2/18/2013 lesson. After Differentiation Assessment Magnet Arts Integration Math Club Extension Students then break off into pairs or small groups to solve the practice problems. TOTD: 2/19/2013 ticket out the door. Make sure to keep this information for PEP data. Flexible groups based on teacher input and formative data. Exit ticket Dance: movement to practice on the 1,000 chart, Technology: SMART Board/TenMarks/Khan Academy http://www.khanacademy.org/commoncore#grade-3, Music: Mr. Lee’s raps CMS Unit 7 Grade 3 Math Common Core Flexible Grouping Thursday 2/20/2013 Day: 4 Session CCSS Student Friendly Objective Mathematical Practice 49 3.NF.2 Students will be able to develop an understanding of fractions as numbers by identifying the amount of equal parts on a number line. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Use appropriate tools strategically. Attend to precision. Are students able to name fractions on a number line? Are students able to mark on a number line where a specified fraction would be found? SMART Board, math notebook This particular skill introduces students to the notion that partial numbers exists between those whole numbers. Students need practice identifying fractions with their appropriate word name and picture representation. To help with conceptualizing fractions as parts of a whole, students will use fraction manipulatives to compare portions of a circle or rectangle and its whole counterpart. In this manner, students can better understand that fractions are pieces of a whole. Essential Question (Revised Blooms) Materials Before During Spend about five minutes reviewing the warm-up. Fractions on a number line Fractions are equal parts of a whole thing. The numerator is the top number (some of the equal parts), and the denominator is the bottom number (all the equal parts). Using a number line will give students a better understanding that fractions are numbers between whole numbers. Finding the fraction on a number line requires lots of practice. First, determine how many parts there are between the whole numbers (including the ending whole number). The total number of parts is the denominator. The numerator is where the point is on the number line. Combine this with pictures of a rectangle to help students visualize this concept. Work through the smartboard slides for supplement. After Differentiation Assessment Magnet Arts Integration Math Club Extension Students then break off into pairs or small groups to solve the practice problems. TOTD: 2/20/2013 ticket out the door. Make sure to keep this information for PEP data. Flexible groups based on teacher input and formative data. Exit ticket Dance: movement to practice on the 1,000 chart, Technology: SMART Board/TenMarks/Khan Academy http://www.khanacademy.org/commoncore#grade-3, Music: Mr. Lee’s raps CMS Unit 7 Grade 3 Math Common Core Flexible Grouping Session CCSS Student Friendly Objective Mathematical Practice Essential Question (Revised Blooms) Materials Before During Friday 2/21/2013 Day: 5 50 3.NF.2 Students will be able to develop an understanding of fractions as numbers by identifying the amount of equal parts on a number line. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Use appropriate tools strategically. Attend to precision. Are students able to name fractions on a number line? Are students able to mark on a number line where a specified fraction would be found? SMART Board, math notebook This particular skill introduces students to the notion that partial numbers exists between those whole numbers. Students need practice identifying fractions with their appropriate word name and picture representation. To help with conceptualizing fractions as parts of a whole, students will use fraction manipulatives to compare portions of a circle or rectangle and its whole counterpart. In this manner, students can better understand that fractions are pieces of a whole. Spend about five minutes reviewing the warm-up. Fractions on a number line Continued from 2/20/2013 lesson. After Differentiation Assessment Magnet Arts Integration Math Club Extension Students then break off into pairs or small groups to solve the practice problems. TOTD: 2/21/2013 ticket out the door. Make sure to keep this information for PEP data. Flexible groups based on teacher input and formative data. Exit ticket Dance: movement to practice on the 1,000 chart, Technology: SMART Board/TenMarks/Khan Academy http://www.khanacademy.org/commoncore#grade-3, Music: Mr. Lee’s raps CMS Unit 7