Teaching Priority Concepts in Math: Grade 8

Teaching Priority Concepts in Math: Grade 8Tricia ProficState UpdatesModule 1 and Module 2 are available on engage for grade 8Module 1 LinkModule 2 LinkThe first quarter to half of the years modules are supposed to be available at the end of the monthAnnotated sample questions from Aprils state assessment are posted on engage as well Sample Questions linkTape DiagramsPromote perseverance in reasoning through problems.Develop students independence in asking themselves:Can I draw something?What can I label?What do I see? What can I learn from my drawing?

88 children were in swimming camp. One-third of the boys and three-sevenths of the girls wore goggles. If 34 students wore goggles, how many girls wore goggles?

Opening Exercise:

88 children were in swimming camp. One-third of the boys and three-sevenths of the girls wore goggles. If 34 students wore goggles, how many girls wore goggles?883420Boys GirlsWore gogglesChildren at swim campDid not wear goggles5434Wore goggles14July 2013 Network Team Institute594 children are in a reading club. One-third of the boys and three-sevenths of the girls prefer fiction. If 36 students prefer fiction, how many girls prefer fiction?

Try to use tape diagrams to answer the following question:94 children are in a reading club. One-third of the boys and three-sevenths of the girls prefer fiction. If 36 students prefer fiction, how many girls prefer fiction?Lets practice with tape diagramsTwo pears and a pineapple cost $2. Two pears and three pineapples cost $4.50. Find the cost of a pineapple.

Example 2Henry bought 280 blue and red paper cups. He used 1/3 of the blue ones and 1/2 of the red ones at a party. If he had an equal number of blue cups and red cups left, how many cups did he use altogether?Example 3Sana and Amy collect bottle caps. The ratio of the number of bottle caps Sana has to the number Amy has is 2:3. The ratio became 5:6 when Sana added 8 more bottle caps to her collection. How many bottle caps does Amy have?

Example 4The ratio of songs on Jessas phone to songs on Tessies phone is 2 to 3. Tessie deletes half of her songs and now has 60 fewer songs than Jessa. How many songs does Jessa have?

Congruence and Rigid MotionsHow do you define congruence?

Why are we defining congruence in terms of rigid motions?To avoid having to directly measure objects: Can we really measure with accuracy?Are opposite sides of a rectangle really congruent?TranslationsHow do you define a translation?

Module definition of a translation:A basic rigid motion that moves a figure along a given vector.Yes, vectors in 8th grade.

ActivityReflectionsHow do you define a reflection?

Module definition of a reflection:A basic rigid motion that moves a figure across a lineAlso, if you connect any point to its reflected image, the line of reflection bisects that segment

Activity Draw on paper any shape you would like and a line you would like reflect your image onTrace that shape and line of reflection onto your transparencyFlip your transparency over to see how the image was reflected on the line you chose to drawvisual of a reflection

RotationsHow do you define a rotation?

Module definition of a rotation:A basic rigid motion that moves a figure around a point, d degrees

ActivityDraw on paper any shape and a point you would like to rotate your shape aroundTrace that shape and point on your transparencyTurn your transparency counter clockwise around the point you drew, keeping your transparency matched up with your pointVisual of a Counterclockwise RotationSequencing Rigid Motions

Congruence of Figures using Rigid motions

Congruence of Angles How to prove the congruence of angles when you have parallel lines cut by a transversal using rigid motions.Proving the angle sum of the interior angles of a triangle is 180 degrees given known facts about straight angles and the relationships between angles with parallel lines cut by a transversal.Todays TaskEach pair will be given a lesson from Grade 8 Module 2 to analyzeWe know that some of these lessons will need modifications to reasonably teach these conceptsPlease fill out the lesson plan formIf you modify any of the class problem sets or homework assignments, please add them to the lesson plan word documentAfter building your lessons, we will regroup and modify the mid-module and end-of-module assessments to add multiple choice questions