Manitoba Progress Tracker

Overview

In this final lesson of the Linear Patterns and Algebra unit, students review their learning evidence and help identify strengths, independence, and next steps. The teacher uses a Manitoba-aligned tracking chart to record progress in Knowledge and Understanding, Mental Math, and Problem Solving for each of the four students.

Learning intentions

Students will:

• recognise the key concepts, vocabulary, representations, rules, and expression structures studied in the unit
• explain how they used mental mathematics, calculation, estimation, and checking
• describe strategies used to represent and solve linear pattern and algebra problems
• reflect on their level of independence and identify a useful next step

Success criteria

• I can identify what I know about linear patterns, expressions, equations, tables, and graphs.
• I can explain a strategy and check whether my answer is reasonable.
• I can describe whether I worked independently, with prompts, or with support.
• I can choose a specific next step for improving my mathematics learning.

Curriculum links

• Patterns and Relations — oral and written patterns and their corresponding relations.
• Patterns and Relations — constructing tables of values, graphing relations, and analysing graphs.
• Patterns and Relations — preservation of equality, expressions and equations, and evaluating expressions.
• Mathematical processes — communication, connections, mental mathematics and estimation, problem solving, reasoning, technology, and visualisation.

Lesson structure (50 minutes)

1. 0–5 min · Re-engage and focus. Teacher displays the opening progress-tracking slides and asks, “Which mathematical idea from this unit can you explain best?” Students silently choose one topic from the visual review and share with a partner before whole-class discussion. Keep responses brief and use a visible timer to support focus.

2. 5–12 min · Visual retrieval review. Teacher presents the unit review slides, showing examples of a pattern, a table, a graph, an expression, and an equation without immediately naming them. Students use mini-whiteboards to identify the representation, state a possible rule, and recall relevant vocabulary such as variable, term, coefficient, constant, relation, and equality. Teacher notes misconceptions and asks students to justify one answer.

3. 12–22 min · Evidence sort and discussion. Teacher places four short examples from previous checkpoints, Friday reviews, and the summative task on the board or under the document camera. Students work as a group of four to match each example to Knowledge and Understanding, Mental Math, or Problem Solving, explaining their decisions. Each student then selects one piece of evidence they are proud of and one that still needs practice. Teacher records brief observational notes.

4. 22–35 min · Individual reflection and conference. Teacher distributes the Manitoba report-card reflection and tracking worksheet. Students complete the reflection portion independently, using sentence starters and the visual examples from the slides. While students work, the teacher holds short individual conferences, asking: “What did you do first?”, “How did you check?”, and “What support helped?” Record evidence using the levels Beginning, Developing, Consistent, or Extending, and independence as Independent, Prompted, or Supported.

5. 35–44 min · Targeted demonstration. Teacher uses the student evidence to select one common need, such as identifying the rule from a table or evaluating an expression. Model one example concretely and pictorially, then symbolically, using think-aloud language: “I know this because…”, “I checked by…”. Students complete one parallel example on the worksheet and explain their reasoning to a partner. Students who are ready complete a second example with a different representation.

6. 44–50 min · Exit reflection and documentation. Teacher asks students to complete the final reflection on the Manitoba report-card reflection and tracking worksheet: one concept they can now use, one strategy they use efficiently, and one next step. Students share their next step with the teacher or partner. Teacher collects the sheets and completes one row per student in the tracking chart, using specific evidence rather than a general impression.

Resources

• the opening progress-tracking slides
• the Manitoba report-card reflection and tracking worksheet
• Previous formative checkpoint work, Friday review work, and summative task
• Mini-whiteboards, markers, and erasers
• Document camera or interactive whiteboard
• Visible timer
• Student mathematics notebooks
• Teacher tracking chart or digital gradebook

Assessment

• During retrieval review, check whether students can identify representations, describe a pattern rule, use vocabulary, and explain their reasoning.
• During conferences and the targeted demonstration, record observable evidence for Knowledge and Understanding, Mental Math, Problem Solving, and independence.
• Complete the report-card chart after the lesson. Use the following structure for each student: Student name, Date, Task/evidence, K/U indicator and level, MM indicator and level, PS indicator and level, Level of independence, Next step, and Progress status. Select Beginning, Developing, Consistent, or Extending.

Suggested evidence descriptors:

• K/U: identifies concepts, vocabulary, representations, rules, and expression structure.
• MM: recalls facts, calculates or estimates efficiently, and checks reasonableness.
• PS: selects strategies, represents situations, explains reasoning, and perseveres.

Differentiation

• Provide a visual word bank, colour-coded examples, guided notes, and sentence starters: “The rule is…”, “I represented it by…”, and “I checked by…”.
• Read worksheet directions aloud, present one instruction at a time, and offer dyslexia-friendly formatting: clear sans-serif font, larger spacing, short lines, uncluttered pages, and reduced copying.
• For students with modified programmes or significant gaps, provide pre-selected evidence, concrete pattern materials, partially completed tables, and oral or scribed responses. Assess the intended outcome at the student’s instructional level.
• Support distractable students with a defined role, a quiet workspace during individual reflection, a visible countdown, and private teacher check-ins. Offer extension through comparing two representations of the same relation and explaining why they are equivalent.