Spatial Reasoning Across Strands by SCDSB Math

6-6a

math205 — 2023-10-10 19:45:00 UTC

describe and perform combinations of translations, reflections, and rotations on a grid (See E1.4 Teacher Supports)
predict the results of combined transformations (See E1.4 Teacher Supports)

Physically moving objects to do translations, reflections and rotations
Using grid of floor to translate, reflect and rotate objects
Create tessellations with a shape of known area, find area of pattern

Moving students bodies to show the movement. Student move from point A to point B

2023-10-18 13:59:32 UTC

8-4a

2023-10-18 13:59:42 UTC

- using coloured squares to represent growing and shrinking patterns (use one colour as the constant and another as the multiplier) to show connections between visual and numerical representations
- represent growing and shrinking patterns graphically to show the connections to algebraic representation, showing that the "b" in y = mx + b is the y-intercept (visually showing that this is where the line crosses the y-axis)

Geometric Patterns

2023-10-18 13:59:55 UTC

* growing and shrinking patterns with pattern blocks, tiles

* visual patterns using different manipulatives

2023-10-18 13:59:58 UTC

Use of number lines... Spatial understanding, where does this number belong? Can do student number lines, give students sticky notes and start/end point

2023-10-18 14:00:45 UTC

- project a 100s chart and remove numbers. Students will locate the missing numbers based on their knowledge of the 100s chart, and using spatial reasoning

2023-10-18 14:01:00 UTC

* using tiles to represent integers (adding, subtracting)

2023-10-18 14:01:00 UTC

Fractions

2023-10-18 14:01:06 UTC

* acting out fair share problems with manipulatives or real life materials

2023-10-18 14:01:14 UTC

- place value - place value disks, base ten blocks, place value mats

2023-10-18 14:01:34 UTC

Base ten blocks. Decomposing and Composing. Moving to representation

2023-10-18 14:01:36 UTC

Number lines and using spatial reasoning

Visual fraction talks/number talks

2023-10-18 14:01:50 UTC

-human number line, students stand with a specific number and space themselves out as per where there number fits on the number line

2023-10-18 14:01:59 UTC

2023-10-18 14:02:15 UTC

Number Lines to represent algebraic expressions

2023-10-18 14:02:25 UTC

using tiles to build and create algebraic pattern rules with different colours for constant and variables

Algebra

2023-10-18 14:02:28 UTC

* creating equal amounts with balance scales
* using linking cubes for trains to show equality

Using cubes/tiles to make balancing equations. Students will be able count/create structures/pictures that have the same numbers of cubes/tiles on each side.

2023-10-18 14:02:38 UTC

Using base ten blocks to represent decimals

2023-10-18 14:03:04 UTC

Orienteering, physical movement on a coordinate grid

2023-10-18 14:03:05 UTC

Cross Curricular ie the Arts Dance Music

2023-10-18 14:03:09 UTC

Area Models/Array Models

2023-10-18 14:03:21 UTC

Using visual models to represent multiplication and division

-rational rods to show equality and represent number

2023-10-18 14:03:36 UTC

composing and decomposing numbers using base 10 plus students own diagrams/representations

pfigueroa4 — 2023-10-18 14:03:44 UTC

2023-10-18 14:03:45 UTC

sea level number line for integers. How many meters above/below sea level are different animals, boats, planes etc.

Making Predictions

2023-10-18 14:03:54 UTC

Rulers as a number line

2023-10-18 14:04:05 UTC

Shapes on a grid - fractions. Comparing more/less with full grid filled in versus half of the grid filled in (parallelogram).

2023-10-18 14:04:08 UTC

solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves sequential, concurrent, repeating, and nested events

Mapping, use of grids

2023-10-18 14:04:08 UTC

using pattern blocks to represent fractions

2023-10-18 14:04:18 UTC

Students can create patterns using pattern blocks while creating shapes (eg. 6 triangles to make a hexagon)

2023-10-18 14:04:32 UTC

2023-10-18 14:04:50 UTC

Represent patterns visually, graphically

2023-10-18 14:04:55 UTC

Creating tessellations - link to art. Students move a stencil to create wallpaper

Mapping, cartesian plane, coordinates

2023-10-18 14:05:23 UTC

Factorization: using prime factor circles

2023-10-18 14:05:29 UTC

Have students construct a "battleship" game card using the Cartesian plane. Will help with location, integers, ordered pairs and transformational geometry.

2023-10-18 14:05:31 UTC

2023-10-18 14:05:33 UTC

reate and translate repeating and growing patterns using various representations, including tables of values and graphs

Sports - visualizing parts of the ice/courts and how to move your body, move the ball/puck/racket, etc.

2023-10-18 14:05:35 UTC

Translating from graphs to patterns. (understanding how slope relates to the pattern)

lajohnson10 — 2023-10-18 14:05:47 UTC

Coding

2023-10-18 14:05:49 UTC

* using grids to show movement of objects, using lego characters or tiny people characters to move with the grid and show turns
* using picture books to tell a story and have characters move to different locations on a grid

use of algebra tiles; polypad

2023-10-18 14:06:19 UTC

Have students create their community on a 100s carpet. Have them use arrows to move to places in their communities.

2023-10-18 14:06:31 UTC

Cartesian Plane - Using the school / play ground

2023-10-18 14:06:35 UTC

The connection between body movement and the cartesian plane. Scavenger hunt both inside and outside the school using a standard measurements. For example, using a scaled map of the school and providing either the X,Y coordinates or coordination direction, to demonstrated the different locations that students need to find throughout the playground / school.

8-5a

2023-10-18 14:07:28 UTC

- using integer tiles to demonstrate the idea of zero pairs (i.e., a positive and a negative cancel each other out)
- using digital/physical representations of fractions to show that equivalent fractions is either merging or splitting fractions into smaller parts
- using visuals to represent that multiplying proper fractions involves finding "a part of a part"

3-7c

2023-10-18 14:07:47 UTC

C2. demonstrate an
understanding of variables,
expressions, equalities, and
inequalities, and apply this
understanding in various contexts

C1.4 create and describe patterns to illustrate relationships among whole numbers and decimal tenths - students can describe using their own representation

pfigueroa4 — 2023-10-18 14:08:00 UTC

2023-10-18 14:09:15 UTC

solve inequalities that involve addition and subtraction of whole numbers up to 20, and verify and graph the solutions

Stories

2023-10-18 14:09:27 UTC

* students create a story using terms of in front of, behind where a character is in relation to the setting (forest, house, playground) and other characters.
* students then orally read their story to a partner and then the partner acts out the story

Tape Diagrams

2023-10-18 14:12:25 UTC

To represent fractions, part-part models, multiplication, ratios

Number Line

2023-10-18 14:13:21 UTC

Graphing Inequalities on a number line

Creating visual art assignments that use spatial reasoning

2023-10-18 14:13:47 UTC

2023-10-18 14:14:14 UTC

Have students identify and use representations, tools, technologies, or strategies to create a model of the schoolyard, identifying the dimensions of the rectangular sections and their areas.

Math is Visual

2023-10-18 14:15:44 UTC

Using visual representation of number concepts

moving body in space - physically moving body in unplugged coding

2023-10-26 14:01:01 UTC

wimiller — 2023-10-26 14:02:25 UTC

Cuisenaire rods for fractions

patterns with 3D shapes - growing/shrinking

2023-10-26 14:02:33 UTC

connecting to phys ed

2023-10-26 14:03:24 UTC

Create models for numbers in the gym by using different sized balls to represent different values.

2023-10-26 14:03:43 UTC

Identifying patterns in real life situations- e.g. building bridges using repeated triangles as a way to make it strong-integrated with science

the use of scale in mapping

2023-10-26 14:03:49 UTC

using manipulatives to solve number equations

2023-10-26 14:03:50 UTC

Creating symmetrical pictures using pattern blocks

2023-10-26 14:04:12 UTC

story maps

2023-10-26 14:05:13 UTC

Create a map to find different locations around the school and yard to connect to a story or Literacy

Steam Tasks

2023-10-26 14:07:22 UTC

Building structures and leaving out missing parts to determine how to balance equations

2023-10-26 14:07:37 UTC

Use the orientation of shapes ( e.g., pattern blocks) as part of a pattern to increase spatial skills

2023-10-26 14:07:43 UTC

Visually representing numbers and operations in a variety of ways using concrete materials

Use Code and Go Mouse to 'retell' stories by walking from page to page of a book on a hundreds chart

2023-10-26 14:08:37 UTC

2023-10-26 14:09:31 UTC

This works well with coding, and programming. Visually representing the output of a program, and visually representing how the output would change with a change in programming.

Time filler - quick game

2023-10-26 14:09:35 UTC

I'm thinking of a number between x and x. As students guess the number line becomes eliminated. Students will have an understanding of the capacity of numbers as well as where they fall on a number line.

Operational strategies

2023-10-26 14:11:31 UTC

Represent their adding and subtracting strategies using an open number line, decomposing the numbers into their place, value, etc.

Map out the school

2023-10-26 14:12:01 UTC

instructions on how to get from class to.. gym, office, library, playgroud

Mapping/Coding

2023-10-26 14:13:55 UTC

Use location and movement problems (see problem of the week from U of Waterloo) and have students translate them onto coding grids. Once that is done, they can use the grid to write code in Scratch.

2023-10-26 14:14:45 UTC

Visually representing algebraic expressions using manipulatives and connecting it visually to graphing and patterns.

use snap cubes to extend on the geometric tasks introduced today, and allow students to build their own shapes and allow others to draw them. Then, use communicaton skills only to describe to partner how to build their shape. (battleship idea)

2023-10-26 14:17:50 UTC

Around the world for math facts

kkalbfleisch — 2023-10-27 13:56:23 UTC

Tenths grid, hundredths grid and thousandths grid to visually see the difference between the decimals. Visually represent decimals for comparing, adding etc.

2023-10-27 14:01:09 UTC

Using decimal grids to represent decimals visually and help with understanding and concepts like rounding.

2023-10-27 14:01:46 UTC

Presenting problems that have different answers depending on how you connect...

2023-10-27 14:02:37 UTC

3 x 4 = 12

4 x 3 = 12

Are these the same or similar? How do you know? Where might you see this paradigm in nature...IE 3 seasons with 4 months or 4 months with 3 seasons...? Are these the same?

Connecting to Art Curriculum

2023-10-27 14:02:54 UTC

So many ways to apply these skills/practice into art activities...

Ratios

2023-10-27 14:02:55 UTC

Using manipulatives to represent ratios. Students can visualize the multiplicative pattern and connect it to fractions.

sjwallace1 — 2023-10-27 14:06:07 UTC

Hundreds Carpets.

2023-10-27 14:07:00 UTC

Walking and moving patterns

Mic Drop!

2023-10-27 14:09:49 UTC

Boom!

change the 'value' of a pattern block edge, make them worth different amounts. Students create amounts and then compare how the amount of an edge changes the value of the shape.

2023-10-27 14:12:31 UTC