6th Grade Task: Math Competition
6th Grade Task: Math Competition
Standards & Objectives
- Write and evaluate numerical expressions involving whole-number exponents.
- Write, read, and evaluate expressions in which letters stand for numbers.
- Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to...
- Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or...
- Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can...
- Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all...
- Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that...
- Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one...
- GLE 0606.1.1
- Use mathematical language, symbols, and definitions while developing mathematical reasoning.
- GLE 0606.3.1
- Write and solve two-step equations and inequalities.
- GLE 0606.3.2
- Interpret and represent algebraic relationships with variables in expressions, simple equations and inequalities.
- GLE 0606.3.3
- Extend order of operations to include grouping symbols and exponents.
- GLE 0606.3.4
- Use expressions, equations and formulas to solve problems.
- GLE 0606.3.5
- Use multiple representations including symbolic algebra to model and/or solve contextual problems that involve linear relationships.
- SPI 0606.3.1
- Represent on a number line the solution of a linear inequality.
- SPI 0606.3.2
- Use order of operations and parentheses to simplify expressions and solve problems.
- SPI 0606.3.3
- Write equations that correspond to given situations or represent a given mathematical relationship.
- SPI 0606.3.5
- Translate between verbal expressions/sentences and algebraic expressions/equations.
- Write, read, and evaluate expressions in which variables stand for numbers.
- Understand solving an equation or inequality is carried out by determining if any of the values from a given set make the equation or inequality true. Use...
- Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an...
- Solve real-world and mathematical problems by writing and solving onestep equations of the form x + p = q and px = q for cases in which p, q, and x are all...
- Interpret and write an inequality of the form x > c or x
- Use variables to represent two quantities in a real-world problem that change in relationship to one another.
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Essential and guiding questions:
Whole Group Questions:
- Can someone explain to the class where Tommy made his mistake?
- Which math skills does this task address?
- What does a variable represent in an expression?
- Could we have chosen to use a variable for another part of the problem?
- How does using a variable, affect the answer in an expression?
Blooms taxonomy level:
Assessing and Advancing Questions
If students can’t get started….
- What does the problem say?
- What information is the problem giving me?
- What could I do to help me organize or set up the problem?
- Can you make a table to organize the information?
- Which tool would you like to use to organize this information to compare the rates, a table or graph? Why?
If students finish early….
- If a bus will hold a maximum of 72 people, what is the maximum amount of teams that could ride on the bus?
- Can you write a general equation to represent this?
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