Mathematics

Grade 5 is just wrapping up a unit in mathematics exploring the idea that:

Fractions, decimals and percentages are ways of representing whole-part relationships.

Students started off the unit with a pre-assessment to help answer the questions:

How am I doing?

Where to next?

Students used the information from the pre-assessment to set goals for the unit, and the teachers used this information when planning learning activities.

As a tuning in activity and discussion starter, students briefly reflected on the question of “What is a fractional part, and what isn’t a fractional part?" 

Students used the image below to decide which shapes were divided into fractional parts and which weren't.

Which shapes are divided into fourths? Why are the others not considered to be fourths?

Throughout the unit, students had many opportunities to work both independently and collaboratively to construct meaning on a variety of concepts related to fractions.  Here are students constructing a fraction strip to help investigate fractional relationships.

After students had opportunities to sort out ideas and construct meaning, they were given more challenging problems to apply what they had learned.  Here are a few students discussing their problem solving strategies.

              

                                   

Below, Amy, Rosa and Limie use all they know about fractions, angles, measurement and ratio to follow a detailed set of blueprints to construct a house of precise dimensions. 

A few of the details:

-The length of the front wall of the house is 9/16 of the length of the paper.

-The roof angles in at 40 degrees from each top corner of the house. The top of the roof is parallel to the top of the front wall.

Applying what they know. Perhaps they should join the school renovation meetings.

We finished the unit with an assessment to check student progress and note areas we still need to work on. Students plotted their score and progress on our

Growth Mindset Graph. 

As you can see, most students land in the top-right quadrant, which is the high growth-high achievement quadrant-exactly where we want to be!

Ask your daughter which dot is hers.

Students discussed which dot represented the "best" score. It was a lively discussion with the verdict split between the far right dots and the dots at the top.  In fact, it inspired Limie to coin a new phrase:

"Improving makes good learning." -Limie Sanada 2016