Note, all modules will incorporate Process Standards:
Week 1 – Community Building
Weeks 2 and 3 – Quadratic Functions
Weeks 4 and 5 – Quadratic Equations
Week 6 – Square Root Functions
Week 7 – Square Root Equations
Weeks 8 and 9 – Cubic and Cube Root Functions and Equations
- 2A.1A: Apply mathematics to problems arising in everyday life, society, and the workplace.
- 2A.1B: Use a problem-solving model that incorporates analyzing given information, formulating
- a plan or strategy, determining a solution, justifying the solution, and evaluating the
- problem-solving process and the reasonableness of the solution.
- 2A.1C: Select tools, including real objects, manipulatives, paper and pencil, and technology as
- appropriate, and techniques, including mental math, estimation, and number sense as
- appropriate, to solve problems.
- 2A.1D: Communicate mathematical ideas, reasoning, and their implications using multiple
- representations, including symbols, diagrams, graphs, and language as appropriate.
- 2A.1E: Create and use representations to organize, record, and communicate mathematical ideas.
- 2A.1F: Analyze mathematical relationships to connect and communicate mathematical ideas; and
- 2A.1G: Display, explain, or justify mathematical ideas.
Week 1 – Community Building
- Syllabus
- Course Expectations
- Required Materials
- Digital Access
- Topics Covered
- Grading System
- Contact Information
- Community building activities
- Discussion board
- Non-curricular thinking tasks
- Getting to Know You activities
Weeks 2 and 3 – Quadratic Functions
- Objectives:
- I can determine key attributes of quadratic functions, such as domain, range, vertex, intercepts, and extrema.
- I can write the equation of a parabola given key attributes.
- I can transform a quadratic function from standard form to vertex form.
- TEKS Alignment:
- 2A.4A: Write the equation of a parabola given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening.
- 2A.4D: Transform a quadratic function from standard form to vertex form to identify the different key attributes of a function.
- 2A.7I: Write the domain and range of a function in interval notation, inequalities, and set notation.
- Activities:
- Instructional videos
- Curricular thinking tasks
- Practice concepts, communicate ideas, and collaborate with peers using physical and digital resources, scaffolded to meet diverse learner needs
- Physical
- Check your understanding questions
- Scavenger hunts
- Digital
- Scavenger hunts
- DeltaMath
- Blooket
- Desmos activities
- Physical
- Research connections to other content areas
- Assessments:
- Quick Check on 4D and 7I
- Quick Check on 4A
- Discussion
- Self-reflection
- Summative Assessment
Weeks 4 and 5 – Quadratic Equations
- Objectives:
- I can factor quadratic equations.
- I can solve quadratic equations using a variety of methods, such as factoring or quadratic formula.
- TEKS Alignment:
- 2A.4F: Solve quadratic and square root equations.
- Activities:
- Instructional videos
- Curricular thinking tasks
- Practice concepts, communicate ideas, and collaborate with peers using physical and digital resources, scaffolded to meet diverse learner needs
- Physical
- Check your understanding questions
- Scavenger hunts
- Digital
- Scavenger hunts
- DeltaMath
- Blooket
- Desmos activities
- Physical
- Research connections to other content areas and past topics
- Assessments:
- Quick Check on 4F
- Discussion
- Self-reflection
- Summative Assessment
Week 6 – Square Root Functions
- Objectives:
- I can determine key attributes of square root functions, such as domain, range, vertex, intercepts, and extrema.
- TEKS Alignment:
- 2A.4A: Analyze the effect on the graphs of a square root function when the function is replaced by a, b, c, and d values specific positive and negative values of a, b, c, and d values.
- Activities:
- Instructional videos
- Curricular thinking tasks
- Practice concepts, communicate ideas, and collaborate with peers using physical and digital resources, scaffolded to meet diverse learner needs
- Physical
- Check your understanding questions
- Scavenger hunts
- Digital
- Scavenger hunts
- DeltaMath
- Blooket
- Desmos activities
- Physical
- Research connections to other content areas and past topics
- Assessments:
- Quick Check on 4A
- Discussion
- Self-reflection
Week 7 – Square Root Equations
- Objectives:
- I can solve square root equations.
- I can analyze the relationship between quadratic and square root functions and equations.
- TEKS Alignment:
- 2A.4F: Solve quadratic and square root equations.
- 2A.4G: Identify extraneous solutions of square root equations.
- 2A.2C: Describe and analyze the relationship between a function and its inverse (quadratic and square root), including the restriction(s) on domain, which will restrict its range.
- Activities:
- Instructional videos
- Curricular thinking tasks
- Practice concepts, communicate ideas, and collaborate with peers using physical and digital resources, scaffolded to meet diverse learner needs
- Physical
- Check your understanding questions
- Scavenger hunts
- Digital
- Scavenger hunts
- DeltaMath
- Blooket
- Desmos activities
- Physical
- Research connections to other content areas and past topics
- Assessments:
- Quick Check on 4F and 4G
- Quick Check on 2C
- Discussion
- Self-reflection
- Summative Assessment
Weeks 8 and 9 – Cubic and Cube Root Functions and Equations
- Objectives:
- I can determine key attributes of cubic and cube root functions, such as domain, range, vertex, intercepts, and extrema.
- I can solve cubic and cube root equations.
- I can analyze the relationship between cubic and cube root functions and equations.
- TEKS Alignment:
- 2A.6A: Analyze the effect on the graphs of a cubic and cube root function when the function is replaced by a, b, c, and d values specific positive and negative values of a, b, c, and d values.
- 2A.6B: Solve cube root equations that have real roots.
- 2A.2C: Describe and analyze the relationship between a function and its inverse (quadratic and square root), including the restriction(s) on domain, which will restrict its range.
- Activities:
- Instructional videos
- Curricular thinking tasks
- Practice concepts, communicate ideas, and collaborate with peers using physical and digital resources, scaffolded to meet diverse learner needs
- Physical
- Check your understanding questions
- Scavenger hunts
- Digital
- Scavenger hunts
- DeltaMath
- Blooket
- Desmos activities
- Physical
- Research connections to other content areas and past topics
- Assessments:
- Quick Check on 6A
- Quick Check on 6B
- Discussion
- Self-reflection
- Summative Assessment
References
Chapter 111. Texas essential knowledge and skills for mathematics subchapter C. high school. (2015). https://tea.texas.gov/about-tea/laws-and-rules/sboe-rules-tac/sboe-tac-currently-in-effect/ch111c.pdf