Grade 4 Math Morning
Heather Zetterberg
Math Specialist, Grades K-9
Points for This Morning
Values and Beliefs
- Making Sense of Problems
- Perseverance in Solving Problems
- Constructing Viable Arguments
- Critiquing the Reasoning of Others
- Opportunity for Practice
- Joyful Engagement
Instructional Practices
- Warm Ups
- Exploration
- Investigation
- Direct Instruction
- Center Work
- Discussions
- Opportunities for Practice
Fractions Now - Next…
- Anticipated Instructional Sequence for the 2024-2025 School Year
Instructional Practices
Instructional Practices
- Warm Ups
- Direct Instruction
- Investigations - Centers - Mathematical Discourse
Warm Ups
Which One Doesn’t Belong?
What Do You Notice?
Warm Ups
Notice and Wonder
What Do You Wonder?
True or False: Equivalence
Decide if each statement is true or false.
Warm Ups
True or False
Be prepared to explain your reasoning.
Direct Instruction
Investigations
Investigations
Find
at least one fraction that is between ⅖ and ⅜.
Explain or show your reasoning.
Centers
Mathematical Discourse
"Small minds discuss persons. Average minds discuss events. Great minds discuss ideas. Really great minds discuss mathematics."
Unknown Author
Questions and investigations are modified so that all students are able to access them while tapping into higher-order thinking skills.
• Everyone can participate
• Students employ multiple approaches
• Reasoning and proof are expected
• Many opportunities for critical thinking
• Students will struggle and make mistakes
- Novelty and challenge are necessary for neuroplasticity and enhancing cognitive function
- Students need to practice the process of brainstorming, testing an idea, analyzing why an idea didn’t work and revising one’s approach to solving the problem
Benefits of Productive Struggle
“Success in math does not depend on how many answers you know, but by what you do when you don’t know the answer.”
Unknown Author
1. Multiples and Factors
Equivalent Fractions And Comparing
Extending Operations > Fractions
4. Decimals
Measurement 6. Multiplication and Division 7. Angles + Angle Measurements
Properties of 2D Shapes
Putting All Skills Together
Factors and Multiples
1. How do you know that a number is a factor of another number?
2. How do you know that a number is a multiple of a given number?
3. How are factors related to multiples?
4. How can you tell if a number prime or composite?
Fractions: Equivalent + Comparing
1. How are two given fractions alike?
2. How are two given fractions different?
3. What strategies can you use to compare fractions?
4. What is the most efficient strategy to use to compare fractions in a given situation?
Extending Operations > Fractions
● Multiply a fractions and a whole numbers
● Add and subtract fractions with the same denominator
● Add tenths and hundredths
1. How do you know what fractions are needed to make an equation true?
2. What strategies could you use to solve a given problem?
“Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.”
—William Paul Thurston
This morning, did you…
- Make sense of problems?
- Persevere in solving problems?
- Construct viable arguments?
- Critique the reasoning of others?
- Have an opportunity for practice?
- Engage with math joyfully?
