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1 By the end of the lesson, you will be able to… 5th Grade Module 5Lesson 18K. ClausonBy the end of the lesson, you will be able to…Objective: Lessons 18: Draw rectangles and rhombuses to clarify their attributes and define rectangles and rhombuses based on those attributes.
2 Divide Whole Numbers by Fractions and Fractions by Whole Numbers Time to Sprint!Divide Whole Numbers by Fractionsand Fractions by Whole Numbers5th Grade Module 5 – Lesson 18K. Clauson
4 Application ProblemHow many 2-inch cubes are needed to build a rectangular prism that measures 10 inches by 6 inches by 14 inches?
5 Teacher notes Concept Development Teacher and Students will need: Template 1 - quadrilateral hierarchyRulerProtractorSet square (or right angle template)ScissorsCrayons, markers, or colored pencilsBlank paper for drawing
6 Problem 1 a) Draw a rhombus and articulate the definition Concept DevelopmentProblem 1 a) Draw a rhombus and articulate the definitionGive the least specific name for all the shapes we’ve drawn so far.Tell your partner a more specific name for a shape we’ve drawn so far and explain what property it has that gives it that name.QuadrilateralsTrapezoids = one pair of parallel sidesParallelograms = two pairs of parallel sides
7 Problem 1 a) Draw a rhombus and articulate the definition Concept DevelopmentProblem 1 a) Draw a rhombus and articulate the definitionHow did we start drawing the trapezoids and parallelograms?If we wanted to draw a parallelogram that is also a rhombus, what would I need to think about?By drawing a pair of parallel sides- Four sides the same length- Needs two pairs of parallel sides- again all measuring the same length
8 Problem 1 a) Draw a rhombus and articulate the definition Concept DevelopmentProblem 1 a) Draw a rhombus and articulate the definitionDraw an angle with sides that are the same lengthLabel the vertex B and the endpoints of the sides as A and C.Draw a line parallel to one of the sides through the endpoint.
9 Problem 1 a) Draw a rhombus and articulate the definition Concept DevelopmentProblem 1 a) Draw a rhombus and articulate the definitionNow draw a second set of parallel sides going through the endpoint.Label the last angle as DMeasure your sides and compare your figure with your partner’sWhat is the most specific name for this shape? How do you know?Stu Dent and Ima Kid shared their thoughts!Stu Dent’s response!: My sides were two inches long. My partner’s were three inches long, but they both have two sets of parallel sides and the sides are all the same length. So, we both drew a rhombus. It’s a parallelogram with four equal sides.Ima Kid: Mine is a parallelogram with equal sides, but my partner’s is a square. We both drew a rhombus with four equal sides, even though I started with an acute angle, and he started with a right angle.
10 Problem 1 b) Measure and label its angles to explore their relationships. Use your protractor to measure the angles and mark them inside the rhombusWhat do you notice? Turn and TalkStu Dent said: “The angles that are beside each other add up to a straight angle. There are two pairs of angles. Each pair adds up to 180°.”Ima Kid said: “Angles between parallel lines equal 180°. The opposite angles are the same size.”
11 Problem 1 c) Fold and measure to explore diagonals of rhombuses. Use your ruler to draw the diagonals of the rhombus.Measure them from corner to corner and also from corner to where they intersect.Tell your partner what you notice.Now measure the angles formed by the diagonals. What is the measurement?Do the diagonals of a rhombus bisect one another? How do you know?What is the name for lines that intersect at a right angle?90° They are right angles!Yes because the point where they cross is the midpoint of both diagonals.Perpendicular linesWe call these diagonals perpendicular bisectors!
12 Let’s analyze what we found! What attributes must be present to call a parallelogram a rhombus?All four sides are equalThe diagonals are perpendicular bisectors
13 Problem 2 a) Draw a rectangle according to the definition of a rectangle Let’s draw a rectangle! Remember a rectangle must have right angles and opposite sides that are equal.
14 Problem 2 b) Measure and label its angles to explore their relationship Cut out your rectangle and confirm that the angles are all 90° and the opposite sides are the same length.8 cm4 cm4 cm8 cm90° angle90° angle
15 Problem 2 c) Fold and measure to explore diagonals of rectangles Now measure the diagonals, the segments of the diagonals, and the angles around the intersection point.Record your measurements on the rectangle.What do you notice? Turn and talk.Are the diagonals perpendicular bisectors? How do you know?
16 Let’s analyze what we found! What attributes must be present to call a parallelogram a rectangle?The sides across from each other have to be the same length.All angles are 90°The diagonals bisect each other
17 Get Ready to Finish the Problem Set on Your Own! Let’s practice drawing more rhombuses and rectangles and thinking about their attributes by completing the Problem Set.You will have 10 minutes to complete the Problem Set. Do your best to complete as much as you can in the time allotted.Fast finishers:Math Center Activities- choice boards, extra Sprint challengeCML packets/ worksheetsProblem Solving pages5th Grade Module 5– Lesson 18K. Clauson
18 LET’S Debrief Take 2 minutes to check your answers with your partner. Let’s share any insights you had while solving these problems.When???5th Grade Module 5- Lesson 18K. Clauson