Group and Independent Practice: Multiplying and Dividing with Powers of Ten

Activity #1: Moving digit cards

There was still confusion after the activity described in our last blog. Normal, but corrigible! We had students draw a Place Value Chart on an 11 x 17 piece of paper. Something like this: Continue reading Group and Independent Practice: Multiplying and Dividing with Powers of Ten

Starting the Multiplication Unit

We believe there are 3 non-negotiable skills for fifth graders moving on to sixth grade:

  • Fractions
  • Multiplication
  • Division

Accordingly, we spend more time on these 3 units than most schools do, although we work in a handful of additional topics as well. The payoff comes later —  middle school (and high school!) teachers don’t have to reteach these topics. A goal in itself! Continue reading Starting the Multiplication Unit

Review Lesson: Fractions, Word Problems and Patterns.

These 4 problems actually took a whole period! Problem-solving takes time.

CW review

We did this review in groups of 3, with some students rotating after each problem, but the rotation is not necessary. (See Alpha Beta Gamma post from Sept) Rotation breaks up the period with a little movement, and decreases group competition.

Problem #1: Claire has 4 cookies more than Max. Max has 3 times as many cookies as Oliver. Altogether they have 81 cookies. How many does Claire have?

VERDICT: The kids have got it now. Continue reading Review Lesson: Fractions, Word Problems and Patterns.

3 Investigations and 3 Homeworks – Investigating Patterns

INVESTIGATION 1:   Visual Patterns

We spend one lesson investigating patterns we choose from this website:

http://www.visualpatterns.org/

It is best to start with patterns like #2, #15, #18,  that add a constant number of objects at each step.

Concrete/pictorial students will spend the time they need to build or draw the next few steps in a pattern, and count the new totals at each step. Watch for leaps of intuition when a student gradually begins to see a pattern emerging, and takes the risk of predicting the 10th or the 43rd term. Continue reading 3 Investigations and 3 Homeworks – Investigating Patterns